Well, darling, the least common multiple of 20p and 100p^2 is 100p^2. Why? Because the LCM is the smallest number that both 20p and 100p^2 divide into evenly, and in this case, 100p^2 is the smallest number that fits the bill. So, there you have it - simple math with a side of sass!
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Since 100p3 is a multiple of 20p, it is automatically the LCM of this problem.
20p
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