Activated verizon 4g lte sim card in Verizon iphone 5?

I have a Droid with 4g lte on Verizon. Can i just take the Sim card out and put it in a Verizon iphone 5 without going through any other kind of activation and it will just work?

Added (1). It is a nano sim, so i can just insert it and it should work correct?

You have to have a nano sim card or just cut down your sim from your droid then insert it the iPhone