You should be good, as others have said, at moderate volumes. I'm driving a old Cambridge Soundworks (passive)sub/satellite system at my office computer with that Lepai amp and for near field listening it can be played louder than I like (>>90 dB) before any clipping is noticed. The M3's are more efficient than the speakers I'm using and should be able to be played louder before clipping.
If you're trying to fill a large room, I think I'd start saving up for a larger amp. For the price, that little Lepai isn't so crappy, imho.
Good Luck! Enjoy your new M3's.
Scott My HT