File Size, Image Quality

[tiang]

Hi! I'm new to the comm and to Gimp as well. I've been playing around with it and have made quite some nice icons. I'm now trying to make animated/gif icons. My only problem is the file size. As we all know, LJ only allows icons to be 40kb or smaller. Is there any way to save the file in a smaller size without compromising the frame count or image quality?

I hope someone can help me out here. Thanks!