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They are synonyms, which means they mean the same thing, so you can use either; it makes no difference.

However, "optimal" can be made into an adverb, "optimally", but "optimum" cannot.

Both can function as an adjective but only "optimum" can be used as a noun.

In fact, there are some people who believe that "optimum" should only be used as a noun and it's only because people have repeatedly used it as an adjective (incorrectly) over a long period of time that it has become acceptable as an adjective.

So if you want to be safe, it would be best to only use "optimum" as a noun. But I'm sure no one would correct you if you used it as an adjective, especially because all dictionaries I've looked at list it as both.

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15y ago

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