Strange question.... Depends on the shot effect you're going for. If you are talking about the lowest shutter speed to keep the subject sharp, then that depends on the available light. If you are using studio flashes, I'd say no less than 1/60 but usually you'd just use the highest shutter speed the camera sync's to (normally 1/250) to avoid ambient light affecting the shot. If you are using natural light, then the lowest shutter speed which gives you a good exposure relative to the aperture you are using (in ISO100). If you get blur, up the ISO or widen the aperture. If the subject is completely still though, then you can use whatever shutter speed you want.
If your subject is a human, then they will never be completely still (unless Cryogenically frozen) so I'd try to aim for at least 1/15 if mounted on tripod, or 1/60 if handheld.