What is the Least Common Multiple of 96008 and 96021?

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 96008 and 96021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96008 and 96021, than apply into the LCM equation.

GCF(96008,96021) = 1
LCM(96008,96021) = ( 96008 × 96021) / 1
LCM(96008,96021) = 9218784168 / 1
LCM(96008,96021) = 9218784168

Least Common Multiple (LCM) of 96008 and 96021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96008 and 96021. First we will calculate the prime factors of 96008 and 96021.

Prime Factorization of 96008

Prime Factorization of 96021

Now multiplying the highest exponent prime factors to calculate the LCM of 96008 and 96021.

LCM(96008,96021) = 2³ × 11¹ × 1091¹ × 3² × 47¹ × 227¹
LCM(96008,96021) = 9218784168