What is the Least Common Multiple of 5856 and 5872?

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 5856 and 5872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5856 and 5872, than apply into the LCM equation.

GCF(5856,5872) = 16
LCM(5856,5872) = ( 5856 × 5872) / 16
LCM(5856,5872) = 34386432 / 16
LCM(5856,5872) = 2149152

Least Common Multiple (LCM) of 5856 and 5872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5856 and 5872. First we will calculate the prime factors of 5856 and 5872.

Prime Factorization of 5856

Prime Factorization of 5872

Now multiplying the highest exponent prime factors to calculate the LCM of 5856 and 5872.

LCM(5856,5872) = 2⁵ × 3¹ × 61¹ × 367¹
LCM(5856,5872) = 2149152