shout out vs let out

shout out and let out both are verbs.

Word	Noun	Adjective	Verb	Adverb
shout out	No	No	Yes	No
let out	No	No	Yes	No

As verbs, let out is a hypernym of shout out; that is, let out is a word with a broader meaning than shout out:

Other hypernyms of shout out include emit, let loose, utter.

shout out (verb)	let out (verb)
utter a sudden loud cry	make (clothes) larger
utter in a very loud voice	make known to the public information that was previously known only to a few people or that was meant to be kept a secret
	express audibly; utter sounds (not necessarily words)
	bring out of a specific state