Universities will look at your whole academic record and where you got your degrees from, and what professional experience you have (which often acts as a substitute qualifications), but they'll be more interested in your most recent qualification.
Generally for a PhD you need:
a First UG degree
or
a 2.1 plus masters at high merit or distinction.
However, if you get a distinction or high merit at LLM, and particularly if you gain a distinction mark in a dissertation, you may still have a good chance of a place.
This is very generalised advice - you need to speak to individual uni's etc.