What is the Least Common Multiple of 88008 and 88019?

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 88019 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 88019, than apply into the LCM equation.

GCF(88008,88019) = 1
LCM(88008,88019) = ( 88008 × 88019) / 1
LCM(88008,88019) = 7746376152 / 1
LCM(88008,88019) = 7746376152

Least Common Multiple (LCM) of 88008 and 88019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88008 and 88019. First we will calculate the prime factors of 88008 and 88019.

Prime Factorization of 88008

Prime Factorization of 88019

Now multiplying the highest exponent prime factors to calculate the LCM of 88008 and 88019.

LCM(88008,88019) = 2³ × 3¹ × 19¹ × 193¹ × 88019¹
LCM(88008,88019) = 7746376152