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What is the Least Common Multiple of 56604 and 56623?

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 56623 is 3205088292.

LCM(56604,56623) = 3205088292

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Least Common Multiple of 56604 and 56623 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 56623, than apply into the LCM equation.

GCF(56604,56623) = 1
LCM(56604,56623) = ( 56604 × 56623) / 1
LCM(56604,56623) = 3205088292 / 1
LCM(56604,56623) = 3205088292

Least Common Multiple (LCM) of 56604 and 56623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56604 and 56623. First we will calculate the prime factors of 56604 and 56623.

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 56623

Prime factors of 56623 are 7, 8089. Prime factorization of 56623 in exponential form is:

56623 = 71 × 80891

Now multiplying the highest exponent prime factors to calculate the LCM of 56604 and 56623.

LCM(56604,56623) = 22 × 31 × 531 × 891 × 71 × 80891
LCM(56604,56623) = 3205088292