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Least Common Multiple of 144 and 210 by Prime Factorization

Identify the Prime Factors of 144 and 210 by Prime Factorization:
Prime Factorization of 144: 144 = 2 x 2 x 2 x 2 x 3 x 3 = 24 x 32
Prime Factorization of 210: 210 = 2 x 3 x 5 x 7 = 21 x 31 x 51 x 71
Prime Factors of 144 and 210: 2, 3, 5 and 7
Least Common Multiple of 144 and 210 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(144,210) = 24 x 32 x 51 x 71
LCM(144,210) = 16 x 9 x 5 x 7
LCM(144,210) = 5,040

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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