What is the Least Common Multiple of 96084 and 96088?

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 96084 and 96088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96084 and 96088, than apply into the LCM equation.

GCF(96084,96088) = 4
LCM(96084,96088) = ( 96084 × 96088) / 4
LCM(96084,96088) = 9232519392 / 4
LCM(96084,96088) = 2308129848

Least Common Multiple (LCM) of 96084 and 96088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96084 and 96088. First we will calculate the prime factors of 96084 and 96088.

Prime Factorization of 96084

Prime Factorization of 96088

Now multiplying the highest exponent prime factors to calculate the LCM of 96084 and 96088.

LCM(96084,96088) = 2³ × 3² × 17¹ × 157¹ × 12011¹
LCM(96084,96088) = 2308129848