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What is the Least Common Multiple of 56124 and 56137?

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 56124 and 56137 is 3150632988.

LCM(56124,56137) = 3150632988

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Least Common Multiple of 56124 and 56137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56124 and 56137, than apply into the LCM equation.

GCF(56124,56137) = 1
LCM(56124,56137) = ( 56124 × 56137) / 1
LCM(56124,56137) = 3150632988 / 1
LCM(56124,56137) = 3150632988

Least Common Multiple (LCM) of 56124 and 56137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56124 and 56137. First we will calculate the prime factors of 56124 and 56137.

Prime Factorization of 56124

Prime factors of 56124 are 2, 3, 1559. Prime factorization of 56124 in exponential form is:

56124 = 22 × 32 × 15591

Prime Factorization of 56137

Prime factors of 56137 are 73, 769. Prime factorization of 56137 in exponential form is:

56137 = 731 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 56124 and 56137.

LCM(56124,56137) = 22 × 32 × 15591 × 731 × 7691
LCM(56124,56137) = 3150632988