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What is the Least Common Multiple of 23594 and 23612?

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 23594 and 23612 is 278550764.

LCM(23594,23612) = 278550764

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Least Common Multiple of 23594 and 23612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23594 and 23612, than apply into the LCM equation.

GCF(23594,23612) = 2
LCM(23594,23612) = ( 23594 × 23612) / 2
LCM(23594,23612) = 557101528 / 2
LCM(23594,23612) = 278550764

Least Common Multiple (LCM) of 23594 and 23612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23594 and 23612. First we will calculate the prime factors of 23594 and 23612.

Prime Factorization of 23594

Prime factors of 23594 are 2, 47, 251. Prime factorization of 23594 in exponential form is:

23594 = 21 × 471 × 2511

Prime Factorization of 23612

Prime factors of 23612 are 2, 5903. Prime factorization of 23612 in exponential form is:

23612 = 22 × 59031

Now multiplying the highest exponent prime factors to calculate the LCM of 23594 and 23612.

LCM(23594,23612) = 22 × 471 × 2511 × 59031
LCM(23594,23612) = 278550764