What is the Least Common Multiple of 12864 and 12872?

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 12864 and 12872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12864 and 12872, than apply into the LCM equation.

GCF(12864,12872) = 8
LCM(12864,12872) = ( 12864 × 12872) / 8
LCM(12864,12872) = 165585408 / 8
LCM(12864,12872) = 20698176

Least Common Multiple (LCM) of 12864 and 12872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12864 and 12872. First we will calculate the prime factors of 12864 and 12872.

Prime Factorization of 12864

Prime Factorization of 12872

Now multiplying the highest exponent prime factors to calculate the LCM of 12864 and 12872.

LCM(12864,12872) = 2⁶ × 3¹ × 67¹ × 1609¹
LCM(12864,12872) = 20698176