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What is the Least Common Multiple of 56857 and 56876?

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 56857 and 56876 is 3233798732.

LCM(56857,56876) = 3233798732

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Least Common Multiple of 56857 and 56876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56857 and 56876, than apply into the LCM equation.

GCF(56857,56876) = 1
LCM(56857,56876) = ( 56857 × 56876) / 1
LCM(56857,56876) = 3233798732 / 1
LCM(56857,56876) = 3233798732

Least Common Multiple (LCM) of 56857 and 56876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56857 and 56876. First we will calculate the prime factors of 56857 and 56876.

Prime Factorization of 56857

Prime factors of 56857 are 56857. Prime factorization of 56857 in exponential form is:

56857 = 568571

Prime Factorization of 56876

Prime factors of 56876 are 2, 59, 241. Prime factorization of 56876 in exponential form is:

56876 = 22 × 591 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 56857 and 56876.

LCM(56857,56876) = 568571 × 22 × 591 × 2411
LCM(56857,56876) = 3233798732