The Xtreme Math on LEDs (No Worries, It’s Easy Peasy) |
Published by Martha Danly under Energy Efficiency, Sustainable Products

In an earlier post on lighting, LEDs—You’ve Come A Long Way, Baby, Sam Leppanen outlined the many advantages of brightening up with LEDs. This post zooms in on lighting’s total cost of ownership, so you can directly compare the tab for LED bulbs with those for Compact Fluorescents (CFLs) and incandescent bulbs.
I’ve called the math Xtreme, not because it’s hard, but because the payback on LEDs is dramatic.
We’ll walk through the savings calculations using a model adapted from the LED Starlight website. To adjust the model for your situation, feel free to substitute assumptions, such as the cost of bulbs, the cost of electricity, or the number of bulbs in your household—the results will still be dramatic, I promise.
Let’s start with the bottom-line lighting costs for your household. Assuming you have a total of 30 light bulbs operating over a period of 60,000 hours each (the lifespan of the average LED), your total direct savings would be more than $20,000 if you used LEDs versus incandescent bulbs.
That’s the Xtreme part.
OK, now for the easy-peasy part. Let’s break it down step-by-step using grade-school arithmetic. The total direct savings is the sum of your savings on bulbs plus electricity. Using the chart below, let’s look at the savings on bulbs first.
COMPARISON OF LIGHTING TYPES BY TOTAL COST |
||||
| BULB COST |
LED |
CFL |
Incandescent |
|
|
1 |
Lifespan of bulb (total hours of operation) |
60,000 |
10,000 |
1,200 |
|
2 |
Bulbs needed for 60,000 hours of use |
1 |
6 |
50 |
|
3 |
Cost per bulb |
$15.98 |
$2.98 |
$1.25 |
|
4 |
Total bulb cost |
$15.98 |
$17.88 |
$62.50 |
| ELECTRICITY COST |
LED |
CFL |
Incandescent |
|
|
5 |
Watts per bulb (equivalent to 60w incandescent) |
6 |
14 |
60 |
|
6 |
Kilowatt hours (Kwh) of electricity used over 60,000 hours |
360 |
840 |
3,600 |
|
7 |
Total electricity cost (at $0.20 per Kwh) |
$72.00 |
$168.00 |
$720.00 |
| TOTAL COST PER FIXTURE |
LED |
CFL |
Incandescent |
|
|
8 |
Bulb cost plus electricity cost |
$87.98 |
$185.88 |
$782.00 |
| TOTAL COST PER HOUSEHOLD |
LED |
CFL |
Incandescent |
|
|
9 |
Number of bulbs per household |
30 |
30 |
30 |
|
10 |
Total cost of bulbs per household |
$479.40 |
$536.40 |
$1,875.00 |
|
11 |
Total cost of electricity per household |
$2,160.00 |
$5,040.00 |
$21,600.00 |
|
12 |
Total cost per household |
$2,639.40 |
$5,576,40 |
$23,475.00 |
|
13 |
Savings versus incandescent |
$20,835.60 |
$17,898.60 |
$0 |
The difference in the lifespan of the three bulb types is huge (line 1 of the chart): it takes 50 incandescent bulbs to operate for 60,000 hours versus only 1 LED bulb (line 2 = 60,000 ÷ line 1).
So despite the fact that the LED bulbs have a higher up-front cost (line 3), the true cost of the bulbs alone is one-fourth that of incandescents (line 4 = line 2 x line 3).
Now let’s look at the cost of electricity. LED bulbs use only one-tenth the electricity of incandescent bulbs to produce the same amount of illumination. For example, it takes 60 watts to power a 60w incandescent bulb, but only 6 watts to produce the same amount of light with an LED bulb (line 5).
Over a 60,000-hour operating period, the incandescent bulb will use 10 times the power (line 6 = line 5 x 60,000 ÷ 1,000), costing ten times as much as an LED (line 7 = line 6 x $0.20).
Therefore, on a per-fixture basis, the LED light costs less than $90 to operate over the life of a single bulb compared to $780 for a pile of 50 incandescents (line 8= Line 4 + line 7).
And on a whole-house basis, assuming 30 bulbs per house (line 9), the total bulb cost (line 10 = line 4 x line 9) plus the total electricity cost (line 11 = line 7 x line 9) is the total lighting cost for the household (line 12 = line 10 + line 11).
The savings of over $20,000 (line 12, column 3 – line 12 column 1) may seem hard to believe. What’s the catch? The savings are calculated over the life of an LED bulb, which is very long—60,000 hours. If you use the bulb four hours a day, it lasts 41 years. So the $20,000 savings can be broken down to $500 per year, which is still very substantial. Even if you only convert three bulbs this year, you’ll save $50 if you consider the lifetime costs.
Remember that these calculations look only at the consumer’s direct out-of-pocket costs. There are many other costs that, taken together, are even greater—the greenhouse gases produced by manufacturing and powering incandescent bulbs, the environmental costs of mercury and argon waste from CFLs, the time it takes to purchase and install new bulbs (got any impossible-to-reach places?), and the increased heat and fire risk of incandescents.
All in all, LEDs look like the way to go in terms of the big, green picture. We’ll take on more of their pros and cons in a future blog, but for now hold this thought—LEDs are Xtremely smart.
5 Responses to “The Xtreme Math on LEDs (No Worries, It’s Easy Peasy)”
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Recent Comments






While your math is certainly indisputable and I agree that LEDs are greener based on a number of principles, I gotta say- you can’t dim ‘em. I hope that electrical engineers are working on some consumer driven products to make them more amenable to the average home owner. CFLs are also incompatible with standard wall mounted dimmers for most overhead fixtures in homes and I had high hopes that the newer technology would allow for this feature, but alas…so far no dice.
While I know that as a responsible tenant of this earth that I should be using more efficient lighting sources, I’m hard pressed to give up my old 40 watt pink toned incandescents. I hope that somebody cracks the code on the dimming issue, because then and only then would most folks have no basis to use less efficient bulbs.
Abbie,
Thanks for your comment. You’re in luck…or at least, will be soon. Like you, I want to use dimmable LEDs in my house and happened to address exactly that question yesterday with John Regan, the Chairman and EVP of Finance for LED Green Power in Santa Cruz, CA (http://ledgreenpower.com).
John was very informative on the subject and let me know that after January 1st, we should keep our eyes open for dimmable LEDs. They are getting ready to go to market, and consumer rebates should start becoming available, too.
He also stressed the need for consumers to go to their power companies and demand rebates for LED bulbs. There are enormous discounts already in place for commercial customers — why not consumers, too? Let’s combine our buying power and let PG&E know that we’re serious about saving energy.
One final comment from John is that he advises consumers to make the shift to LEDs gradually. Buy from a local lighting company that carries good product (not a big box store that may offer ‘the cheap stuff’) and experiment with warmer colors.
Hope this is useful. -Martha
I enjoyed your article, but I am wondering where one can purchase LED lightbulbs for $15 apiece? I have never seen them for less than $50 each.
Thanks!
Ellen Sandbeck
Dimmable LEDs are now available from EarthLED.
We are using LEDs in our campaign to shut down the Indian Point nuclear power plant on the Hudson River. Since the campaign started in 2006, New York state has already made up twice the amount of electricity Indian Point produces with conservation and increased efficiency, much of which comes from state-wide LED retrofit programs.
What about these new LED’s – Even Better?
SEE:
“A £2 energy-saving lightbulb that lasts for 60 years has been developed by scientists at Cambridge University. The researchers have designed a bulb that is three times more energy efficient than today’s best offer and can cut lighting bills by 75 per cent.The bulbs are 12 times more efficient that conventional tungsten bulbs and three times more efficient than compact fluorescent “energy efficient” bulbs. They can burn for 100,000 hours and they illuminate instantly and can be dimmed, unlike energy efficient bulbs.”
http://theinfochief.com/