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What is the Least Common Multiple of 56907 and 56913?

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 56907 and 56913 is 1079582697.

LCM(56907,56913) = 1079582697

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Least Common Multiple of 56907 and 56913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56907 and 56913, than apply into the LCM equation.

GCF(56907,56913) = 3
LCM(56907,56913) = ( 56907 × 56913) / 3
LCM(56907,56913) = 3238748091 / 3
LCM(56907,56913) = 1079582697

Least Common Multiple (LCM) of 56907 and 56913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56907 and 56913. First we will calculate the prime factors of 56907 and 56913.

Prime Factorization of 56907

Prime factors of 56907 are 3, 6323. Prime factorization of 56907 in exponential form is:

56907 = 32 × 63231

Prime Factorization of 56913

Prime factors of 56913 are 3, 61, 311. Prime factorization of 56913 in exponential form is:

56913 = 31 × 611 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 56907 and 56913.

LCM(56907,56913) = 32 × 63231 × 611 × 3111
LCM(56907,56913) = 1079582697