What is the Least Common Multiple of 93144 and 93156?

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 93144 and 93156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93144 and 93156, than apply into the LCM equation.

GCF(93144,93156) = 12
LCM(93144,93156) = ( 93144 × 93156) / 12
LCM(93144,93156) = 8676922464 / 12
LCM(93144,93156) = 723076872

Least Common Multiple (LCM) of 93144 and 93156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93144 and 93156. First we will calculate the prime factors of 93144 and 93156.

Prime Factorization of 93144

Prime Factorization of 93156

Now multiplying the highest exponent prime factors to calculate the LCM of 93144 and 93156.

LCM(93144,93156) = 2³ × 3¹ × 3881¹ × 7¹ × 1109¹
LCM(93144,93156) = 723076872