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To find the LCM of 100 and 125, you first need to break them up into their prime factors:

100 = 2x2x5x5

125 = 5x5x5

The next step is to identify any common factors. In this case, both numbers have two 5s as prime factors. Thus we can discard two of these. That leaves us with 2, 2, 5, 5 and 5. Multiply these together to find the LCM:

2x2x5x5x5 = 500

Thus the LCM of 100 and 125 is 500.

Q: What is the LCM of 100 and 125?

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