Important terminology distinction – you don’t “incorporate” an LLC. LLCs are not corporations.
Now, the name of a company can be pretty much anything. Company names are not necessarily trademarks, as opposed to with product names that are intended to be marketed and thus need to be protected. Do a search for trademarks and see what you turn up, because it sounds like IP is the area of interest for you. ;)
Disclaimer: IANAL, so you shouldn’t listen to me.
TBF/H, we all should. And most of us don’t. lol