What is the Least Common Multiple of 93369 and 93375?

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 93369 and 93375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93369 and 93375, than apply into the LCM equation.

GCF(93369,93375) = 3
LCM(93369,93375) = ( 93369 × 93375) / 3
LCM(93369,93375) = 8718330375 / 3
LCM(93369,93375) = 2906110125

Least Common Multiple (LCM) of 93369 and 93375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93369 and 93375. First we will calculate the prime factors of 93369 and 93375.

Prime Factorization of 93369

Prime Factorization of 93375

Now multiplying the highest exponent prime factors to calculate the LCM of 93369 and 93375.

LCM(93369,93375) = 3² × 31123¹ × 5³ × 83¹
LCM(93369,93375) = 2906110125