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What is the Least Common Multiple of 12491 and 12501?

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 12491 and 12501 is 156149991.

LCM(12491,12501) = 156149991

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Least Common Multiple of 12491 and 12501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12491 and 12501, than apply into the LCM equation.

GCF(12491,12501) = 1
LCM(12491,12501) = ( 12491 × 12501) / 1
LCM(12491,12501) = 156149991 / 1
LCM(12491,12501) = 156149991

Least Common Multiple (LCM) of 12491 and 12501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12491 and 12501. First we will calculate the prime factors of 12491 and 12501.

Prime Factorization of 12491

Prime factors of 12491 are 12491. Prime factorization of 12491 in exponential form is:

12491 = 124911

Prime Factorization of 12501

Prime factors of 12501 are 3, 463. Prime factorization of 12501 in exponential form is:

12501 = 33 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 12491 and 12501.

LCM(12491,12501) = 124911 × 33 × 4631
LCM(12491,12501) = 156149991