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I am required to prove uniqueness only using the definition provided Option A. For any pair of integers a and b, their least common multiple

I am required to prove uniqueness only using the definition provided

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Option A. For any pair of integers a and b, their least common multiple is unique. You can use the following definition for this proof. Definition. Let a, b E Z. An integer m is the least common multiple of a and b, if it satisfies (1) a | m and b | m; (2) if for any c E Z such that a | c and b | c, then m | c

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