What is the Least Common Multiple of 96135 and 96152?

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 96135 and 96152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96135 and 96152, than apply into the LCM equation.

GCF(96135,96152) = 17
LCM(96135,96152) = ( 96135 × 96152) / 17
LCM(96135,96152) = 9243572520 / 17
LCM(96135,96152) = 543739560

Least Common Multiple (LCM) of 96135 and 96152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96135 and 96152. First we will calculate the prime factors of 96135 and 96152.

Prime Factorization of 96135

Prime Factorization of 96152

Now multiplying the highest exponent prime factors to calculate the LCM of 96135 and 96152.

LCM(96135,96152) = 3¹ × 5¹ × 13¹ × 17¹ × 29¹ × 2³ × 7¹ × 101¹
LCM(96135,96152) = 543739560