What is the Least Common Multiple of 88008 and 88023?

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 88008 and 88023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88008 and 88023, than apply into the LCM equation.

GCF(88008,88023) = 3
LCM(88008,88023) = ( 88008 × 88023) / 3
LCM(88008,88023) = 7746728184 / 3
LCM(88008,88023) = 2582242728

Least Common Multiple (LCM) of 88008 and 88023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88008 and 88023. First we will calculate the prime factors of 88008 and 88023.

Prime Factorization of 88008

Prime Factorization of 88023

Now multiplying the highest exponent prime factors to calculate the LCM of 88008 and 88023.

LCM(88008,88023) = 2³ × 3¹ × 19¹ × 193¹ × 13¹ × 37¹ × 61¹
LCM(88008,88023) = 2582242728