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What is the Least Common Multiple of 56357 and 56368?

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 56357 and 56368 is 3176731376.

LCM(56357,56368) = 3176731376

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Least Common Multiple of 56357 and 56368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56357 and 56368, than apply into the LCM equation.

GCF(56357,56368) = 1
LCM(56357,56368) = ( 56357 × 56368) / 1
LCM(56357,56368) = 3176731376 / 1
LCM(56357,56368) = 3176731376

Least Common Multiple (LCM) of 56357 and 56368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56357 and 56368. First we will calculate the prime factors of 56357 and 56368.

Prime Factorization of 56357

Prime factors of 56357 are 7, 83, 97. Prime factorization of 56357 in exponential form is:

56357 = 71 × 831 × 971

Prime Factorization of 56368

Prime factors of 56368 are 2, 13, 271. Prime factorization of 56368 in exponential form is:

56368 = 24 × 131 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 56357 and 56368.

LCM(56357,56368) = 71 × 831 × 971 × 24 × 131 × 2711
LCM(56357,56368) = 3176731376