Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCM
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Do the numbers first. The LCM of 6 and 8 is 24. Choose the highest of the powers. The LCM is 24a^3
It is the same as finding the LCM of two numbers that have been expressed as a product of their prime factors except that you need to use the highest index for each prime factor.
The LCM is 78.
The LCM of 3 and 6 is 6 The LCM of 5 and 7 is 35. The LCM of 8 and 9 is 72. The LCM of 12 and 15 is 60.
The LCM of these numbers is 25y. LCM is Least Common Multiple.