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Method I
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132...
Multiples of 22: 22, 44, 66, 88, 110, 132...
It can be seen that 66 is the smallest number among common multiples.
So, LCM(6, 22) = 66.
Method II
Prime factorization of 6 = 2 x 3
Prime factorization of 22 = 2 x 11
Product of prime factors to the highest powersin each category gives LCM.
Highest power of 2 is 1(in both cases).
Highest power of 3 is 1.
Highest power of 11 is 1.
LCM(6, 22) = 21 x 31 x 111 = 66.
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