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What is the Least Common Multiple of 12867 and 12873?

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 12867 and 12873 is 55212297.

LCM(12867,12873) = 55212297

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Least Common Multiple of 12867 and 12873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12867 and 12873, than apply into the LCM equation.

GCF(12867,12873) = 3
LCM(12867,12873) = ( 12867 × 12873) / 3
LCM(12867,12873) = 165636891 / 3
LCM(12867,12873) = 55212297

Least Common Multiple (LCM) of 12867 and 12873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12867 and 12873. First we will calculate the prime factors of 12867 and 12873.

Prime Factorization of 12867

Prime factors of 12867 are 3, 4289. Prime factorization of 12867 in exponential form is:

12867 = 31 × 42891

Prime Factorization of 12873

Prime factors of 12873 are 3, 7, 613. Prime factorization of 12873 in exponential form is:

12873 = 31 × 71 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 12867 and 12873.

LCM(12867,12873) = 31 × 42891 × 71 × 6131
LCM(12867,12873) = 55212297