Wireless mouse issues

Ok, so I have this new laptop that I got recently; I plug my Wireless Logitech Mouse into the pc, it works fine. Then I switch back to my old laptop since I can't use the new one for games (its strictly for school), I plug the USB thing back into the old laptop and now it no longer responds. It worked before I got the new laptop and it still works with the new one. Just not the old one. Anyone that can help?