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I factor each and then use each prime factor the most it was used in either number.
40=2x2x2x5
12=2x2x3
LCM=2x2x2x3x5=120
You can also write out the multiples of each until you have one that is in both lists.
12,24,36,48,60,72,84,96,108,120
40,80,120
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