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What is the Least Common Multiple of 56356 and 56375?

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 56356 and 56375 is 3177069500.

LCM(56356,56375) = 3177069500

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Least Common Multiple of 56356 and 56375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56356 and 56375, than apply into the LCM equation.

GCF(56356,56375) = 1
LCM(56356,56375) = ( 56356 × 56375) / 1
LCM(56356,56375) = 3177069500 / 1
LCM(56356,56375) = 3177069500

Least Common Multiple (LCM) of 56356 and 56375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56356 and 56375. First we will calculate the prime factors of 56356 and 56375.

Prime Factorization of 56356

Prime factors of 56356 are 2, 73, 193. Prime factorization of 56356 in exponential form is:

56356 = 22 × 731 × 1931

Prime Factorization of 56375

Prime factors of 56375 are 5, 11, 41. Prime factorization of 56375 in exponential form is:

56375 = 53 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 56356 and 56375.

LCM(56356,56375) = 22 × 731 × 1931 × 53 × 111 × 411
LCM(56356,56375) = 3177069500