The lcm tag was deleted in the meantime. I would prefer it to be a synonym of least-common-multiple. However, I do not have enough score in that tag to suggest synonyms or to vote for them.
And I certainly wouldn't mind having both gcd and lcm synonym of gcd-and-lcm or something similar.
@wythagoras Probably somebody who knows more about the topic should say.
I only know that celullar automata are somehow related to group theory.
You can wait a bit whether someone else notices your post in chat. Or you can make a post on meta. In either case, you can also ping the user who suggested the synonym and let them know that there is a post on meta/discussion on chat.