Using my Win10 Pro embedded licence on a different machine

I have an Inspiron 15 7560 which came with a licence for Win10 Pro. My company overwrote that with a their own copy of Win10 Enterprise.

Can I use the Pro licence on another machine? I have a Win 10 Home machine, which I really want to upgrade to Pro so I can RDP to it, but I can't justify spending £115 just for that one feature.

IF I can legally use that currently unused licence, how do I get the key? Apparently it's somehow embedded in the motherboard.

Thanks,

Chris