So an LED drawing 1mA would last from 45 to 100 hours. Many LEDs are very dim at 1 mA. According to Duracell, the standard CopperTop AA cell has a capacity of between 2000 and 3000 mAH depending on how it is used and how end of life is determined.
Hopefully the point and the problems would be cleared after the information above mentioned posted for the user