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What is the Least Common Multiple of 56957 and 56970?

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 56957 and 56970 is 3244840290.

LCM(56957,56970) = 3244840290

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Least Common Multiple of 56957 and 56970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56957 and 56970, than apply into the LCM equation.

GCF(56957,56970) = 1
LCM(56957,56970) = ( 56957 × 56970) / 1
LCM(56957,56970) = 3244840290 / 1
LCM(56957,56970) = 3244840290

Least Common Multiple (LCM) of 56957 and 56970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56957 and 56970. First we will calculate the prime factors of 56957 and 56970.

Prime Factorization of 56957

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

56957 = 569571

Prime Factorization of 56970

Prime factors of 56970 are 2, 3, 5, 211. Prime factorization of 56970 in exponential form is:

56970 = 21 × 33 × 51 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 56957 and 56970.

LCM(56957,56970) = 569571 × 21 × 33 × 51 × 2111
LCM(56957,56970) = 3244840290