What is the Least Common Multiple of 88152 and 88164?

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 88152 and 88164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88152 and 88164, than apply into the LCM equation.

GCF(88152,88164) = 12
LCM(88152,88164) = ( 88152 × 88164) / 12
LCM(88152,88164) = 7771832928 / 12
LCM(88152,88164) = 647652744

Least Common Multiple (LCM) of 88152 and 88164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88152 and 88164. First we will calculate the prime factors of 88152 and 88164.

Prime Factorization of 88152

Prime Factorization of 88164

Now multiplying the highest exponent prime factors to calculate the LCM of 88152 and 88164.

LCM(88152,88164) = 2³ × 3² × 3673¹ × 31¹ × 79¹
LCM(88152,88164) = 647652744