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What is the Least Common Multiple of 56604 and 56622?

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 56604 and 56622 is 534171948.

LCM(56604,56622) = 534171948

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Least Common Multiple of 56604 and 56622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56604 and 56622, than apply into the LCM equation.

GCF(56604,56622) = 6
LCM(56604,56622) = ( 56604 × 56622) / 6
LCM(56604,56622) = 3205031688 / 6
LCM(56604,56622) = 534171948

Least Common Multiple (LCM) of 56604 and 56622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56604 and 56622. First we will calculate the prime factors of 56604 and 56622.

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

Prime Factorization of 56622

Prime factors of 56622 are 2, 3, 9437. Prime factorization of 56622 in exponential form is:

56622 = 21 × 31 × 94371

Now multiplying the highest exponent prime factors to calculate the LCM of 56604 and 56622.

LCM(56604,56622) = 22 × 31 × 531 × 891 × 94371
LCM(56604,56622) = 534171948