What is the Least Common Multiple of 96078 and 96096?

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 96078 and 96096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96078 and 96096, than apply into the LCM equation.

GCF(96078,96096) = 6
LCM(96078,96096) = ( 96078 × 96096) / 6
LCM(96078,96096) = 9232711488 / 6
LCM(96078,96096) = 1538785248

Least Common Multiple (LCM) of 96078 and 96096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96078 and 96096. First we will calculate the prime factors of 96078 and 96096.

Prime Factorization of 96078

Prime Factorization of 96096

Now multiplying the highest exponent prime factors to calculate the LCM of 96078 and 96096.

LCM(96078,96096) = 2⁵ × 3¹ × 67¹ × 239¹ × 7¹ × 11¹ × 13¹
LCM(96078,96096) = 1538785248