http://www.outdoorlanternsonsale.com/led-single/
How long can a AA battery power a LED?
I have a brand new AA battery powering a single LED (with resistor). How long do you think I can keep this LED on before the battery runs out of juice? (no, i dont know what resistor or LED strength I have, but it ...does that matter?) The LED is of standard brightness if that does matter.
Well there's a whole bunch of different variables there.
First, an alkaline AA battery can hold from 1700mAh to almost 3000 mAh (Wikipedia). This is what governs how long it will last. An LED typically draws around 30mA (I assume you're not using a very bright one). So if you have a 3000 mAh AA battery and you're drawing 30mA, expect it to last 100 hours.
However, this is immensely complicated by the resistor and by the fact that most standard LEDs don't even light until you're running with over 1.7V. So yes, we do need to know what sort of LED you're using and what the value of the resistor is before we can give a more precise answer.
Rough guess - hope for 50 to 100 hours.
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