What is the Least Common Multiple of 93375 and 93384?

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 93375 and 93384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93375 and 93384, than apply into the LCM equation.

GCF(93375,93384) = 9
LCM(93375,93384) = ( 93375 × 93384) / 9
LCM(93375,93384) = 8719731000 / 9
LCM(93375,93384) = 968859000

Least Common Multiple (LCM) of 93375 and 93384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93375 and 93384. First we will calculate the prime factors of 93375 and 93384.

Prime Factorization of 93375

Prime Factorization of 93384

Now multiplying the highest exponent prime factors to calculate the LCM of 93375 and 93384.

LCM(93375,93384) = 3² × 5³ × 83¹ × 2³ × 1297¹
LCM(93375,93384) = 968859000