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What is the Least Common Multiple of 12494 and 12507?

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 12494 and 12507 is 156262458.

LCM(12494,12507) = 156262458

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Least Common Multiple of 12494 and 12507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12494 and 12507, than apply into the LCM equation.

GCF(12494,12507) = 1
LCM(12494,12507) = ( 12494 × 12507) / 1
LCM(12494,12507) = 156262458 / 1
LCM(12494,12507) = 156262458

Least Common Multiple (LCM) of 12494 and 12507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12494 and 12507. First we will calculate the prime factors of 12494 and 12507.

Prime Factorization of 12494

Prime factors of 12494 are 2, 6247. Prime factorization of 12494 in exponential form is:

12494 = 21 × 62471

Prime Factorization of 12507

Prime factors of 12507 are 3, 11, 379. Prime factorization of 12507 in exponential form is:

12507 = 31 × 111 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 12494 and 12507.

LCM(12494,12507) = 21 × 62471 × 31 × 111 × 3791
LCM(12494,12507) = 156262458