What is the Least Common Multiple of 6864 and 6872?

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 6864 and 6872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6864 and 6872, than apply into the LCM equation.

GCF(6864,6872) = 8
LCM(6864,6872) = ( 6864 × 6872) / 8
LCM(6864,6872) = 47169408 / 8
LCM(6864,6872) = 5896176

Least Common Multiple (LCM) of 6864 and 6872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6864 and 6872. First we will calculate the prime factors of 6864 and 6872.

Prime Factorization of 6864

Prime Factorization of 6872

Now multiplying the highest exponent prime factors to calculate the LCM of 6864 and 6872.

LCM(6864,6872) = 2⁴ × 3¹ × 11¹ × 13¹ × 859¹
LCM(6864,6872) = 5896176