What is the Least Common Multiple of 96153 and 96165?

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 96153 and 96165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96153 and 96165, than apply into the LCM equation.

GCF(96153,96165) = 3
LCM(96153,96165) = ( 96153 × 96165) / 3
LCM(96153,96165) = 9246553245 / 3
LCM(96153,96165) = 3082184415

Least Common Multiple (LCM) of 96153 and 96165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96153 and 96165. First we will calculate the prime factors of 96153 and 96165.

Prime Factorization of 96153

Prime Factorization of 96165

Now multiplying the highest exponent prime factors to calculate the LCM of 96153 and 96165.

LCM(96153,96165) = 3² × 32051¹ × 5¹ × 2137¹
LCM(96153,96165) = 3082184415