What is the Least Common Multiple of 12855 and 12867?

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 12855 and 12867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12855 and 12867, than apply into the LCM equation.

GCF(12855,12867) = 3
LCM(12855,12867) = ( 12855 × 12867) / 3
LCM(12855,12867) = 165405285 / 3
LCM(12855,12867) = 55135095

Least Common Multiple (LCM) of 12855 and 12867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12855 and 12867. First we will calculate the prime factors of 12855 and 12867.

Prime Factorization of 12855

Prime Factorization of 12867

Now multiplying the highest exponent prime factors to calculate the LCM of 12855 and 12867.

LCM(12855,12867) = 3¹ × 5¹ × 857¹ × 4289¹
LCM(12855,12867) = 55135095