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What is the Least Common Multiple of 12586 and 12594?

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 12586 and 12594 is 79254042.

LCM(12586,12594) = 79254042

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Least Common Multiple of 12586 and 12594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12586 and 12594, than apply into the LCM equation.

GCF(12586,12594) = 2
LCM(12586,12594) = ( 12586 × 12594) / 2
LCM(12586,12594) = 158508084 / 2
LCM(12586,12594) = 79254042

Least Common Multiple (LCM) of 12586 and 12594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12586 and 12594. First we will calculate the prime factors of 12586 and 12594.

Prime Factorization of 12586

Prime factors of 12586 are 2, 7, 29, 31. Prime factorization of 12586 in exponential form is:

12586 = 21 × 71 × 291 × 311

Prime Factorization of 12594

Prime factors of 12594 are 2, 3, 2099. Prime factorization of 12594 in exponential form is:

12594 = 21 × 31 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 12586 and 12594.

LCM(12586,12594) = 21 × 71 × 291 × 311 × 31 × 20991
LCM(12586,12594) = 79254042