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What is the Least Common Multiple of 12891 and 12906?

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 12891 and 12906 is 55457082.

LCM(12891,12906) = 55457082

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Least Common Multiple of 12891 and 12906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12891 and 12906, than apply into the LCM equation.

GCF(12891,12906) = 3
LCM(12891,12906) = ( 12891 × 12906) / 3
LCM(12891,12906) = 166371246 / 3
LCM(12891,12906) = 55457082

Least Common Multiple (LCM) of 12891 and 12906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12891 and 12906. First we will calculate the prime factors of 12891 and 12906.

Prime Factorization of 12891

Prime factors of 12891 are 3, 4297. Prime factorization of 12891 in exponential form is:

12891 = 31 × 42971

Prime Factorization of 12906

Prime factors of 12906 are 2, 3, 239. Prime factorization of 12906 in exponential form is:

12906 = 21 × 33 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 12891 and 12906.

LCM(12891,12906) = 33 × 42971 × 21 × 2391
LCM(12891,12906) = 55457082