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What is the Least Common Multiple of 56858 and 56875?

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 56858 and 56875 is 3233798750.

LCM(56858,56875) = 3233798750

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Least Common Multiple of 56858 and 56875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56858 and 56875, than apply into the LCM equation.

GCF(56858,56875) = 1
LCM(56858,56875) = ( 56858 × 56875) / 1
LCM(56858,56875) = 3233798750 / 1
LCM(56858,56875) = 3233798750

Least Common Multiple (LCM) of 56858 and 56875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56858 and 56875. First we will calculate the prime factors of 56858 and 56875.

Prime Factorization of 56858

Prime factors of 56858 are 2, 28429. Prime factorization of 56858 in exponential form is:

56858 = 21 × 284291

Prime Factorization of 56875

Prime factors of 56875 are 5, 7, 13. Prime factorization of 56875 in exponential form is:

56875 = 54 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 56858 and 56875.

LCM(56858,56875) = 21 × 284291 × 54 × 71 × 131
LCM(56858,56875) = 3233798750