What is the Least Common Multiple of 88136 and 88148?

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 88136 and 88148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88136 and 88148, than apply into the LCM equation.

GCF(88136,88148) = 4
LCM(88136,88148) = ( 88136 × 88148) / 4
LCM(88136,88148) = 7769012128 / 4
LCM(88136,88148) = 1942253032

Least Common Multiple (LCM) of 88136 and 88148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88136 and 88148. First we will calculate the prime factors of 88136 and 88148.

Prime Factorization of 88136

Prime Factorization of 88148

Now multiplying the highest exponent prime factors to calculate the LCM of 88136 and 88148.

LCM(88136,88148) = 2³ × 23¹ × 479¹ × 22037¹
LCM(88136,88148) = 1942253032