Doctorate is accurate. While PhD is technically a "research doctorate" and MD and JD are "professional doctorates", all three are types of doctorate degrees.

PhD (Doctor of Philosophy) MD (Doctor of Medicine) JD (Juris Doctor)

LLD is a doctorate too (Doctor of Laws) - the next step up from the LLM (Master of Laws) - to be a solicitor or a barrister, one needs at least an LLB (Bachelor of Laws).

I (almost) decided to study law once which is how I know. I was so enamored with Cole Turner (Julian McMahon's character in 'Charmed') I very nearly decided to pursue an online law degree, since Cole was a lawyer. Who knows. Maybe I still will one of these days, but since all my experience is in SQA, it would not be the most logical thing in the world in the long run I don't think.

But anyway, LLD is also another kind of doctorate, along with Ph.D. MD, DDS, DVM, etc.