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What is the Least Common Multiple of 56859 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 56859 and 56876 is 3233912484.

LCM(56859,56876) = 3233912484

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Least Common Multiple of 56859 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 56859 and 56876, than apply into the LCM equation.

GCF(56859,56876) = 1
LCM(56859,56876) = ( 56859 × 56876) / 1
LCM(56859,56876) = 3233912484 / 1
LCM(56859,56876) = 3233912484

Least Common Multiple (LCM) of 56859 and 56876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56859 and 56876. First we will calculate the prime factors of 56859 and 56876.

Prime Factorization of 56859

Prime factors of 56859 are 3, 11, 1723. Prime factorization of 56859 in exponential form is:

56859 = 31 × 111 × 17231

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 56859 and 56876.

LCM(56859,56876) = 31 × 111 × 17231 × 22 × 591 × 2411
LCM(56859,56876) = 3233912484