What is the Least Common Multiple of 31864 and 31872?

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 31864 and 31872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31864 and 31872, than apply into the LCM equation.

GCF(31864,31872) = 8
LCM(31864,31872) = ( 31864 × 31872) / 8
LCM(31864,31872) = 1015569408 / 8
LCM(31864,31872) = 126946176

Least Common Multiple (LCM) of 31864 and 31872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31864 and 31872. First we will calculate the prime factors of 31864 and 31872.

Prime Factorization of 31864

Prime Factorization of 31872

Now multiplying the highest exponent prime factors to calculate the LCM of 31864 and 31872.

LCM(31864,31872) = 2⁷ × 7¹ × 569¹ × 3¹ × 83¹
LCM(31864,31872) = 126946176