Leicestershire vs Leicester

Leicestershire and Leicester both are nouns.

Word	Noun	Adjective	Verb	Adverb
Leicestershire	Yes	No	No	No
Leicester	Yes	No	No	No

As nouns, Leicestershire and Leicester are synonyms defined as:

Leicestershire and Leicester: a largely agricultural county in central England

Leicestershire (noun)	Leicester (noun)
a largely agricultural county in central England	an industrial city in Leicestershire in central England; built on the site of a Roman settlement
	a largely agricultural county in central England