What is the Least Common Multiple of 96123 and 96136?

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 96123 and 96136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96123 and 96136, than apply into the LCM equation.

GCF(96123,96136) = 1
LCM(96123,96136) = ( 96123 × 96136) / 1
LCM(96123,96136) = 9240880728 / 1
LCM(96123,96136) = 9240880728

Least Common Multiple (LCM) of 96123 and 96136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96123 and 96136. First we will calculate the prime factors of 96123 and 96136.

Prime Factorization of 96123

Prime Factorization of 96136

Now multiplying the highest exponent prime factors to calculate the LCM of 96123 and 96136.

LCM(96123,96136) = 3¹ × 179² × 2³ × 61¹ × 197¹
LCM(96123,96136) = 9240880728