What is the Least Common Multiple of 93351 and 93369?

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 93369 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 93369, than apply into the LCM equation.

GCF(93351,93369) = 3
LCM(93351,93369) = ( 93351 × 93369) / 3
LCM(93351,93369) = 8716089519 / 3
LCM(93351,93369) = 2905363173

Least Common Multiple (LCM) of 93351 and 93369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93351 and 93369. First we will calculate the prime factors of 93351 and 93369.

Prime Factorization of 93351

Prime Factorization of 93369

Now multiplying the highest exponent prime factors to calculate the LCM of 93351 and 93369.

LCM(93351,93369) = 3¹ × 29² × 37¹ × 31123¹
LCM(93351,93369) = 2905363173