I have a Toshiba laptop that came with Lightroom pre-installed. I had to send the laptop in for repairs which included erasing the hard drive. It was a fully licensed version of Lightroom and I need to figure out how to get the license number re-issued.
https://accounts.adobe.com/ then click Plans & Products at the top to find a list of your programs and serial numbers
If you don't have something from Toshiba with the serial number for that OEM version, you will not get a new number from Adobe
Adobe sells OEM (Original Equipment Manufacturer) software to vendors, and it is then that vendor's responsibility to give the serial number to the buyer of their equipment... Adobe has NO record of you, unless you registered the software from inside the software