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What is the Least Common Multiple of 12941 and 12952?

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 12941 and 12952 is 167611832.

LCM(12941,12952) = 167611832

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Least Common Multiple of 12941 and 12952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12941 and 12952, than apply into the LCM equation.

GCF(12941,12952) = 1
LCM(12941,12952) = ( 12941 × 12952) / 1
LCM(12941,12952) = 167611832 / 1
LCM(12941,12952) = 167611832

Least Common Multiple (LCM) of 12941 and 12952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12941 and 12952. First we will calculate the prime factors of 12941 and 12952.

Prime Factorization of 12941

Prime factors of 12941 are 12941. Prime factorization of 12941 in exponential form is:

12941 = 129411

Prime Factorization of 12952

Prime factors of 12952 are 2, 1619. Prime factorization of 12952 in exponential form is:

12952 = 23 × 16191

Now multiplying the highest exponent prime factors to calculate the LCM of 12941 and 12952.

LCM(12941,12952) = 129411 × 23 × 16191
LCM(12941,12952) = 167611832