Suppose K is the least common multiple of ?(m1) and ?(m2), where both m's are integers, and ? represents Euler's totient function. Prove that a^K = 1 (mod m1).

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Suppose K is the least common multiple of ?(m1) and ?(m2), where both m's are integers, and ? represents Euler's totient function. Prove that aK = 1 (mod m1).

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