In Black & White can you use TMs on multiple pokemon?

Question

I know you can re use them but does the pokemon that learns it first have to forget the move in order to re use the tm?

Answer 1

I just ran a TM45 test on Pokemon Black. I taught Attract to all of my Pokemon from one TM.
So no, the TMs now act exactly like HMs, meaning that the TMs are "reusable," not necessarily "recyclable."