What is the Least Common Multiple of 96144 and 96156?

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 96144 and 96156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96144 and 96156, than apply into the LCM equation.

GCF(96144,96156) = 12
LCM(96144,96156) = ( 96144 × 96156) / 12
LCM(96144,96156) = 9244822464 / 12
LCM(96144,96156) = 770401872

Least Common Multiple (LCM) of 96144 and 96156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96144 and 96156. First we will calculate the prime factors of 96144 and 96156.

Prime Factorization of 96144

Prime Factorization of 96156

Now multiplying the highest exponent prime factors to calculate the LCM of 96144 and 96156.

LCM(96144,96156) = 2⁴ × 3² × 2003¹ × 2671¹
LCM(96144,96156) = 770401872