Prime factors of 42 are 2 x 3 x 7. Using exponents, which is totally unnecessary when a number is to the first power, this would be 21 x 31 x 71.
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42=2^3*7
the LCM of 42 and 126 using a prime factorization is 2 times 2 times 3
It is: 126
378
2 x 3 x 7 = 42