At first I thought this was a vraag about how the writer came up with that name. That would be interesting to know. But apparently it is not. Lawliet is L's last name. u learn this in "L Change the World".
I heard it's a British name... though I live in the UK and ain't ever heard the name before. Maybe it's old-fashioned? I'll be hyped when I find someone with the name though. Prove it's his name; It's in "L Changes the World" movie. Don't know about the novel as I yet to read it. It's also in Death Note 13: How to Read. It's in his bio saying it's his true name. The book also comes with a True Name card. (Which looks awesome, btw.) Which also has the name "L Lawliet" on it. I believe it's pronounced Law-Leet. Though I could be wrong. But that's how I say it as that makes the most sense to me.