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**[SOLVED] An LCM Problem**

**Homework Statement**

Let a and b be positive integers and let m = lcm(a,b). If s is a multiple of both a and b, prove that s is a multiple of m.

**The attempt at a solution**

I want to do this without the fact that all multiples of a and b have the form n[(ab) / gcd(a,b)]. This seems impossible. Any tips?