What is the Least Common Multiple of 88864 and 88872?

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 88864 and 88872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88864 and 88872, than apply into the LCM equation.

GCF(88864,88872) = 8
LCM(88864,88872) = ( 88864 × 88872) / 8
LCM(88864,88872) = 7897521408 / 8
LCM(88864,88872) = 987190176

Least Common Multiple (LCM) of 88864 and 88872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88864 and 88872. First we will calculate the prime factors of 88864 and 88872.

Prime Factorization of 88864

Prime Factorization of 88872

Now multiplying the highest exponent prime factors to calculate the LCM of 88864 and 88872.

LCM(88864,88872) = 2⁵ × 2777¹ × 3¹ × 7¹ × 23²
LCM(88864,88872) = 987190176