What is the Least Common Multiple of 12876 and 12891?

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 of 12876 and 12891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12876 and 12891, than apply into the LCM equation.

GCF(12876,12891) = 3
LCM(12876,12891) = ( 12876 × 12891) / 3
LCM(12876,12891) = 165984516 / 3
LCM(12876,12891) = 55328172

Least Common Multiple (LCM) of 12876 and 12891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12876 and 12891. First we will calculate the prime factors of 12876 and 12891.

Prime Factorization of 12876

Prime Factorization of 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 12876 and 12891.

LCM(12876,12891) = 2² × 3¹ × 29¹ × 37¹ × 4297¹
LCM(12876,12891) = 55328172