Making File Size Less on Mini-Movie

Well, I just got started making 'animated' icons. And I'm having trouble.

I made this icon ->

Now, it's only 10 frames. When I try to save it, it comes out as 71 KB, way over the LJ size allowance. Is there any way to make the size smaller?

(I didn't see this posted in the comm memories, sorry if someone already answered this, and a BIG sorry if you don't get a reply from me tomorrow-on, since I'm leaving and won't be able to check my email. I'm not mean, really. Hehe.)