What is the Least Common Multiple of 88132 and 88152?

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 88132 and 88152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88132 and 88152, than apply into the LCM equation.

GCF(88132,88152) = 4
LCM(88132,88152) = ( 88132 × 88152) / 4
LCM(88132,88152) = 7769012064 / 4
LCM(88132,88152) = 1942253016

Least Common Multiple (LCM) of 88132 and 88152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88132 and 88152. First we will calculate the prime factors of 88132 and 88152.

Prime Factorization of 88132

Prime Factorization of 88152

Now multiplying the highest exponent prime factors to calculate the LCM of 88132 and 88152.

LCM(88132,88152) = 2³ × 11¹ × 2003¹ × 3¹ × 3673¹
LCM(88132,88152) = 1942253016