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What is the Least Common Multiple of 56917 and 56925?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 56917 and 56925 is 3240000225.

LCM(56917,56925) = 3240000225

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Least Common Multiple of 56917 and 56925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56917 and 56925, than apply into the LCM equation.

GCF(56917,56925) = 1
LCM(56917,56925) = ( 56917 × 56925) / 1
LCM(56917,56925) = 3240000225 / 1
LCM(56917,56925) = 3240000225

Least Common Multiple (LCM) of 56917 and 56925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56917 and 56925. First we will calculate the prime factors of 56917 and 56925.

Prime Factorization of 56917

Prime factors of 56917 are 7, 47, 173. Prime factorization of 56917 in exponential form is:

56917 = 71 × 471 × 1731

Prime Factorization of 56925

Prime factors of 56925 are 3, 5, 11, 23. Prime factorization of 56925 in exponential form is:

56925 = 32 × 52 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 56917 and 56925.

LCM(56917,56925) = 71 × 471 × 1731 × 32 × 52 × 111 × 231
LCM(56917,56925) = 3240000225