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**1. If lcm(a,b)=ab, show that gcd(a,b) = 1**

## Homework Equations

We can't use the fact that lcm(a,b) = ab / gcd(a,b)

## The Attempt at a Solution

I've already shown that gcd(a,b) = 1 → lcm(a,b) = ab but I can't figure out the other direction!

Any hints?