To find the LCM of two numbers, you need to first write them as their prime factors. In this case, 54 and 63 split to:
54 = 2x3x3x3
63 = 3x3x7
The next step is to identify any common factors. In this case, both numbers have two 3s as factors. Thus we can discard two of them. That leaves us with 2, 3, 3, 3 and 7. Multiply these factors together to get the LCM:
2x3x3x3x7 = 378. Thus the LCM of 54 and 63 is 378.
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