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What is the Least Common Multiple of 56609 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 56609 and 56623 is 457910201.

LCM(56609,56623) = 457910201

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Least Common Multiple of 56609 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 56609 and 56623, than apply into the LCM equation.

GCF(56609,56623) = 7
LCM(56609,56623) = ( 56609 × 56623) / 7
LCM(56609,56623) = 3205371407 / 7
LCM(56609,56623) = 457910201

Least Common Multiple (LCM) of 56609 and 56623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56609 and 56623. First we will calculate the prime factors of 56609 and 56623.

Prime Factorization of 56609

Prime factors of 56609 are 7, 8087. Prime factorization of 56609 in exponential form is:

56609 = 71 × 80871

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 56609 and 56623.

LCM(56609,56623) = 71 × 80871 × 80891
LCM(56609,56623) = 457910201