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What is the Least Common Multiple of 56387 and 56401?

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 56387 and 56401 is 3180283187.

LCM(56387,56401) = 3180283187

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Least Common Multiple of 56387 and 56401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56387 and 56401, than apply into the LCM equation.

GCF(56387,56401) = 1
LCM(56387,56401) = ( 56387 × 56401) / 1
LCM(56387,56401) = 3180283187 / 1
LCM(56387,56401) = 3180283187

Least Common Multiple (LCM) of 56387 and 56401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56387 and 56401. First we will calculate the prime factors of 56387 and 56401.

Prime Factorization of 56387

Prime factors of 56387 are 113, 499. Prime factorization of 56387 in exponential form is:

56387 = 1131 × 4991

Prime Factorization of 56401

Prime factors of 56401 are 56401. Prime factorization of 56401 in exponential form is:

56401 = 564011

Now multiplying the highest exponent prime factors to calculate the LCM of 56387 and 56401.

LCM(56387,56401) = 1131 × 4991 × 564011
LCM(56387,56401) = 3180283187