What is the Least Common Multiple of 85152 and 85164?

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 85152 and 85164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85152 and 85164, than apply into the LCM equation.

GCF(85152,85164) = 12
LCM(85152,85164) = ( 85152 × 85164) / 12
LCM(85152,85164) = 7251884928 / 12
LCM(85152,85164) = 604323744

Least Common Multiple (LCM) of 85152 and 85164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85152 and 85164. First we will calculate the prime factors of 85152 and 85164.

Prime Factorization of 85152

Prime Factorization of 85164

Now multiplying the highest exponent prime factors to calculate the LCM of 85152 and 85164.

LCM(85152,85164) = 2⁵ × 3¹ × 887¹ × 47¹ × 151¹
LCM(85152,85164) = 604323744