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Least Common Multiple of 42 and 126 by Prime Factorization

Identify the Prime Factors of 42 and 126 by Prime Factorization:
Prime Factorization of 42: 42 = 2 x 3 x 7 = 21 x 31 x 71
Prime Factorization of 126: 126 = 2 x 3 x 3 x 7 = 21 x 32 x 71
Prime Factors of 42 and 126: 2, 3 and 7
Least Common Multiple of 42 and 126 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(42,126) = 21 x 32 x 71
LCM(42,126) = 2 x 9 x 7
LCM(42,126) = 126

The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.

Find the Least Common Multiple by Prime Factorization

Related Glossary Terms

Exponent

Least Common Denominator (LCD)

Least Common Multiple (LCM)

Multiple

Prime Factorization

Related Applications

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Prime Factorization with a Factor Tree

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