What is the Least Common Multiple of 96096 and 96102?

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 96096 and 96102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96096 and 96102, than apply into the LCM equation.

GCF(96096,96102) = 6
LCM(96096,96102) = ( 96096 × 96102) / 6
LCM(96096,96102) = 9235017792 / 6
LCM(96096,96102) = 1539169632

Least Common Multiple (LCM) of 96096 and 96102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96096 and 96102. First we will calculate the prime factors of 96096 and 96102.

Prime Factorization of 96096

Prime Factorization of 96102

Now multiplying the highest exponent prime factors to calculate the LCM of 96096 and 96102.

LCM(96096,96102) = 2⁵ × 3² × 7¹ × 11¹ × 13¹ × 19¹ × 281¹
LCM(96096,96102) = 1539169632