Lidocaine vs local anesthetic

Lidocaine and local anesthetic both are nouns.

Word	Noun	Adjective	Verb	Adverb
Lidocaine	Yes	No	No	No
local anesthetic	Yes	No	No	No

As nouns, local anesthetic is a hypernym of Lidocaine; that is, local anesthetic is a word with a broader meaning than Lidocaine:

Lidocaine: a local anesthetic (trade names Lidocaine and Xylocaine) used topically on the skin and mucous membranes
local anesthetic: anesthetic that numbs a particular area of the body

Other hypernyms of Lidocaine include local, local anaesthetic, topical anaesthetic, topical anesthetic.

Lidocaine (noun)	local anesthetic (noun)
a local anesthetic (trade names Lidocaine and Xylocaine) used topically on the skin and mucous membranes	anesthetic that numbs a particular area of the body