dnd 5e – Can a necromancer reuse the corpses left by the dead undead?

Recently I have been doing some versions for Necromancers for one shot and I have been struggling to find something that mentions how to keep up with all the corpses you will need for Animate Dead Spell and Create Undead Spell. .

It seems that there is an indefinite period in which a Corpse can remain as Corpse within the 5E RAW.

Nor have I found anything that indicates that the living dead that die again can not be animated again, within RAW.

This implies that once my zombie or skeleton dies and becomes a corpse again, can I reuse the now corpse according to RAW?