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What is the Least Common Multiple of 23589 and 23604?

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 23589 and 23604 is 185598252.

LCM(23589,23604) = 185598252

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Least Common Multiple of 23589 and 23604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23589 and 23604, than apply into the LCM equation.

GCF(23589,23604) = 3
LCM(23589,23604) = ( 23589 × 23604) / 3
LCM(23589,23604) = 556794756 / 3
LCM(23589,23604) = 185598252

Least Common Multiple (LCM) of 23589 and 23604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23589 and 23604. First we will calculate the prime factors of 23589 and 23604.

Prime Factorization of 23589

Prime factors of 23589 are 3, 2621. Prime factorization of 23589 in exponential form is:

23589 = 32 × 26211

Prime Factorization of 23604

Prime factors of 23604 are 2, 3, 7, 281. Prime factorization of 23604 in exponential form is:

23604 = 22 × 31 × 71 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 23589 and 23604.

LCM(23589,23604) = 32 × 26211 × 22 × 71 × 2811
LCM(23589,23604) = 185598252