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GCD & LCMhard
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What is the number of ordered pairs (a,b)(a, b)(a,b) such that LCM(a,b)=120\text{LCM}(a, b) = 120LCM(a,b)=120 and GCD(a,b)=1\text{GCD}(a, b) = 1GCD(a,b)=1?