What is the Least Common Multiple of 93375 and 93383?

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 93383 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 93383, than apply into the LCM equation.

GCF(93375,93383) = 1
LCM(93375,93383) = ( 93375 × 93383) / 1
LCM(93375,93383) = 8719637625 / 1
LCM(93375,93383) = 8719637625

Least Common Multiple (LCM) of 93375 and 93383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93375 and 93383. First we will calculate the prime factors of 93375 and 93383.

Prime Factorization of 93375

Prime Factorization of 93383

Now multiplying the highest exponent prime factors to calculate the LCM of 93375 and 93383.

LCM(93375,93383) = 3² × 5³ × 83¹ × 93383¹
LCM(93375,93383) = 8719637625