On this one, if the date you registerred the LLC is before the registration record was created (do a whois on the domain) you might be able to file a UDRP complaint (Uniform DOmain Name Resolution Policy) claiming that the current owner registerred the name in bad faith, with the expectation that they were going to extort you for the ownership of the .com.

This sort of stuff happens all the time. As far as I know, it's not usually passed with respect to LLC but rather Trademark.

Regardless, if you really want that name you could have a fighting chance at it.

Look up UDRP to learn more. Better yet UDRP lawyer. There's one who advertises a lot on some of the forums I read. Let me know if you're interested and I can put a bit more legwork into tracking down a name for you.