What is the Least Common Multiple of 93351 and 93357?

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 93351 and 93357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93351 and 93357, than apply into the LCM equation.

GCF(93351,93357) = 3
LCM(93351,93357) = ( 93351 × 93357) / 3
LCM(93351,93357) = 8714969307 / 3
LCM(93351,93357) = 2904989769

Least Common Multiple (LCM) of 93351 and 93357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93351 and 93357. First we will calculate the prime factors of 93351 and 93357.

Prime Factorization of 93351

Prime Factorization of 93357

Now multiplying the highest exponent prime factors to calculate the LCM of 93351 and 93357.

LCM(93351,93357) = 3² × 29² × 37¹ × 11¹ × 23¹ × 41¹
LCM(93351,93357) = 2904989769