What is the Least Common Multiple of 85164 and 85176?

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 85164 and 85176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85164 and 85176, than apply into the LCM equation.

GCF(85164,85176) = 12
LCM(85164,85176) = ( 85164 × 85176) / 12
LCM(85164,85176) = 7253928864 / 12
LCM(85164,85176) = 604494072

Least Common Multiple (LCM) of 85164 and 85176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85164 and 85176. First we will calculate the prime factors of 85164 and 85176.

Prime Factorization of 85164

Prime Factorization of 85176

Now multiplying the highest exponent prime factors to calculate the LCM of 85164 and 85176.

LCM(85164,85176) = 2³ × 3² × 47¹ × 151¹ × 7¹ × 13²
LCM(85164,85176) = 604494072