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Show that any common multiple of two integers is a multiple of the least common multiple of the two integers. In other words, in terms

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Show that any common multiple of two integers is a multiple of the least common multiple of the two integers. In other words, in terms of divisibility, if xn and yn and m is the smallest number such that xm and ylm, then mn. Show your work. Hint: break the problem into smaller parts. Be sure to show all of your work

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