What is the Least Common Multiple of 96120 and 96135?

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 96120 and 96135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96120 and 96135, than apply into the LCM equation.

GCF(96120,96135) = 15
LCM(96120,96135) = ( 96120 × 96135) / 15
LCM(96120,96135) = 9240496200 / 15
LCM(96120,96135) = 616033080

Least Common Multiple (LCM) of 96120 and 96135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96120 and 96135. First we will calculate the prime factors of 96120 and 96135.

Prime Factorization of 96120

Prime Factorization of 96135

Now multiplying the highest exponent prime factors to calculate the LCM of 96120 and 96135.

LCM(96120,96135) = 2³ × 3³ × 5¹ × 89¹ × 13¹ × 17¹ × 29¹
LCM(96120,96135) = 616033080