What is the smallest common multiple of 80 and 180 that is a perfect square?
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Step-by-step explanation:
To get the Least Common Multiple (LCM) of 80 and 180 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:
80: 2 2 2 2 5
180: 2 2 3 3 5
LCM: 2 2 2 2 3 3 5
The Least Common Multiple (LCM) is: 2 x 2 x 2 x 2 x 3 x 3 x 5 = 720
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