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What is the Least Common Multiple of 56595 and 56604?

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 56595 and 56604 is 1067834460.

LCM(56595,56604) = 1067834460

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Least Common Multiple of 56595 and 56604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56595 and 56604, than apply into the LCM equation.

GCF(56595,56604) = 3
LCM(56595,56604) = ( 56595 × 56604) / 3
LCM(56595,56604) = 3203503380 / 3
LCM(56595,56604) = 1067834460

Least Common Multiple (LCM) of 56595 and 56604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56595 and 56604. First we will calculate the prime factors of 56595 and 56604.

Prime Factorization of 56595

Prime factors of 56595 are 3, 5, 7, 11. Prime factorization of 56595 in exponential form is:

56595 = 31 × 51 × 73 × 111

Prime Factorization of 56604

Prime factors of 56604 are 2, 3, 53, 89. Prime factorization of 56604 in exponential form is:

56604 = 22 × 31 × 531 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 56595 and 56604.

LCM(56595,56604) = 31 × 51 × 73 × 111 × 22 × 531 × 891
LCM(56595,56604) = 1067834460