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2. Given two non zero positive integers a, b, the smallest integer that is a multiple of both a and b is called the least

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2. Given two non zero positive integers a, b, the smallest integer that is a multiple of both a and b is called the least common multiple (denoted lcm(a,b)). Prove that lem(c*a,c*b) = c*lem(a,b) for positive non zero integers a, b, c. (Direct proof)

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