From Longman Dictionary of Contemporary EnglishGreater London/Los Angeles/Manchester etcGreater London/Los Angeles/Manchester etcSGLondon, Los Angeles etc and its outer areas → great
Examples from the Corpus
Greater London/Los Angeles/Manchester etc• Every year a couple hundred thousand migrants from Greater Los Angeles are absorbed by other California counties.• In Greater Los Angeles area there are 7.5 million registered drivers and 8 million cars.