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What is the Least Common Multiple of 56945 and 56957?

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 56945 and 56957 is 3243416365.

LCM(56945,56957) = 3243416365

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Least Common Multiple of 56945 and 56957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56945 and 56957, than apply into the LCM equation.

GCF(56945,56957) = 1
LCM(56945,56957) = ( 56945 × 56957) / 1
LCM(56945,56957) = 3243416365 / 1
LCM(56945,56957) = 3243416365

Least Common Multiple (LCM) of 56945 and 56957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56945 and 56957. First we will calculate the prime factors of 56945 and 56957.

Prime Factorization of 56945

Prime factors of 56945 are 5, 7, 1627. Prime factorization of 56945 in exponential form is:

56945 = 51 × 71 × 16271

Prime Factorization of 56957

Prime factors of 56957 are 56957. Prime factorization of 56957 in exponential form is:

56957 = 569571

Now multiplying the highest exponent prime factors to calculate the LCM of 56945 and 56957.

LCM(56945,56957) = 51 × 71 × 16271 × 569571
LCM(56945,56957) = 3243416365