small livestock vs livestock

small livestock and livestock both are nouns.

Word	Noun	Adjective	Verb	Adverb
small livestock	Yes	No	No	No
livestock	Yes	No	No	No

As nouns, livestock is a hypernym of small livestock; that is, livestock is a word with a broader meaning than small livestock:

small livestock: small domesticated animals (chickens, geese, rabbits, hogs, ducks, pigeons, etc.) kept for use or profit.
livestock: any animals kept for use or profit

Other hypernyms of small livestock include farm animal, stock.

small livestock (noun)	livestock (noun)
small domesticated animals (chickens, geese, rabbits, hogs, ducks, pigeons, etc.) kept for use or profit.	any animals kept for use or profit