What is the Least Common Multiple of 96069 and 96084?

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 96069 and 96084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96069 and 96084, than apply into the LCM equation.

GCF(96069,96084) = 3
LCM(96069,96084) = ( 96069 × 96084) / 3
LCM(96069,96084) = 9230693796 / 3
LCM(96069,96084) = 3076897932

Least Common Multiple (LCM) of 96069 and 96084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96069 and 96084. First we will calculate the prime factors of 96069 and 96084.

Prime Factorization of 96069

Prime Factorization of 96084

Now multiplying the highest exponent prime factors to calculate the LCM of 96069 and 96084.

LCM(96069,96084) = 3² × 31¹ × 1033¹ × 2² × 17¹ × 157¹
LCM(96069,96084) = 3076897932