There is no activation mechanism in Lightroom so there's nothing to deactivate.
On the new laptop, just install and enter your serial number.
Lightroom doesn’t have a formal activation process like Photoshop, although Adobe may be tracking something since they do want you to log in during the registration process. I’m not sure.
In general your license allows you to install it on up to two computers as long as you’re only ever using one at a time, so just download and install the latest update for LR on your new laptop and enter the serial number(s) or login to CC, whichever licensing model of LR you have. CC does have a two-computer limit, but if you install on a third computer you’ll be asked to deactivate the other two and then only ever login to CC on the other computer that you want to license and it’ll be fine.
You can get the latest update to whatever LR series you have from the Adobe Updates page:
You will need to find your serial number(s). If you registered LR with Adobe then they should be available online after logging in to adobe.com and a few clicks into Manage account.
Awesome! Thank you so much.