What is the Least Common Multiple of 93135 and 93144?

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 93135 and 93144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93135 and 93144, than apply into the LCM equation.

GCF(93135,93144) = 3
LCM(93135,93144) = ( 93135 × 93144) / 3
LCM(93135,93144) = 8674966440 / 3
LCM(93135,93144) = 2891655480

Least Common Multiple (LCM) of 93135 and 93144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93135 and 93144. First we will calculate the prime factors of 93135 and 93144.

Prime Factorization of 93135

Prime Factorization of 93144

Now multiplying the highest exponent prime factors to calculate the LCM of 93135 and 93144.

LCM(93135,93144) = 3¹ × 5¹ × 7¹ × 887¹ × 2³ × 3881¹
LCM(93135,93144) = 2891655480