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What is the Least Common Multiple of 56757 and 56772?

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 56757 and 56772 is 1074069468.

LCM(56757,56772) = 1074069468

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Least Common Multiple of 56757 and 56772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56757 and 56772, than apply into the LCM equation.

GCF(56757,56772) = 3
LCM(56757,56772) = ( 56757 × 56772) / 3
LCM(56757,56772) = 3222208404 / 3
LCM(56757,56772) = 1074069468

Least Common Multiple (LCM) of 56757 and 56772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56757 and 56772. First we will calculate the prime factors of 56757 and 56772.

Prime Factorization of 56757

Prime factors of 56757 are 3, 18919. Prime factorization of 56757 in exponential form is:

56757 = 31 × 189191

Prime Factorization of 56772

Prime factors of 56772 are 2, 3, 19, 83. Prime factorization of 56772 in exponential form is:

56772 = 22 × 32 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 56757 and 56772.

LCM(56757,56772) = 32 × 189191 × 22 × 191 × 831
LCM(56757,56772) = 1074069468