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What is the Least Common Multiple of 12491 and 12511?

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 12511 is 156274901.

LCM(12491,12511) = 156274901

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Least Common Multiple of 12491 and 12511 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 12511, than apply into the LCM equation.

GCF(12491,12511) = 1
LCM(12491,12511) = ( 12491 × 12511) / 1
LCM(12491,12511) = 156274901 / 1
LCM(12491,12511) = 156274901

Least Common Multiple (LCM) of 12491 and 12511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12491 and 12511. First we will calculate the prime factors of 12491 and 12511.

Prime Factorization of 12491

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

12491 = 124911

Prime Factorization of 12511

Prime factors of 12511 are 12511. Prime factorization of 12511 in exponential form is:

12511 = 125111

Now multiplying the highest exponent prime factors to calculate the LCM of 12491 and 12511.

LCM(12491,12511) = 124911 × 125111
LCM(12491,12511) = 156274901