What is the Least Common Multiple of 93375 and 93385?

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 93385 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 93385, than apply into the LCM equation.

GCF(93375,93385) = 5
LCM(93375,93385) = ( 93375 × 93385) / 5
LCM(93375,93385) = 8719824375 / 5
LCM(93375,93385) = 1743964875

Least Common Multiple (LCM) of 93375 and 93385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93375 and 93385. First we will calculate the prime factors of 93375 and 93385.

Prime Factorization of 93375

Prime Factorization of 93385

Now multiplying the highest exponent prime factors to calculate the LCM of 93375 and 93385.

LCM(93375,93385) = 3² × 5³ × 83¹ × 19¹ × 983¹
LCM(93375,93385) = 1743964875