Right. I was gonna say...
Are you strictly talking about the crew required to operate the ship itself, keep it functioning? Or are you also including crew needed to have the ship fulfill missions and operate as a starship?
All the security and medical and tactical and ordnance and science personnel can be dropped right off, they're not needed to operate the vessel. Correct?
But maybe the OP is referring to minimal ship complement to carry out Galaxy-class missions for Starfleet. That would be different.