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What is the Least Common Multiple of 56737 and 56754?

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 56737 and 56754 is 3220051698.

LCM(56737,56754) = 3220051698

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Least Common Multiple of 56737 and 56754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56737 and 56754, than apply into the LCM equation.

GCF(56737,56754) = 1
LCM(56737,56754) = ( 56737 × 56754) / 1
LCM(56737,56754) = 3220051698 / 1
LCM(56737,56754) = 3220051698

Least Common Multiple (LCM) of 56737 and 56754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56737 and 56754. First we will calculate the prime factors of 56737 and 56754.

Prime Factorization of 56737

Prime factors of 56737 are 56737. Prime factorization of 56737 in exponential form is:

56737 = 567371

Prime Factorization of 56754

Prime factors of 56754 are 2, 3, 1051. Prime factorization of 56754 in exponential form is:

56754 = 21 × 33 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 56737 and 56754.

LCM(56737,56754) = 567371 × 21 × 33 × 10511
LCM(56737,56754) = 3220051698