What is the Least Common Multiple of 93363 and 93378?

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 93363 and 93378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93363 and 93378, than apply into the LCM equation.

GCF(93363,93378) = 3
LCM(93363,93378) = ( 93363 × 93378) / 3
LCM(93363,93378) = 8718050214 / 3
LCM(93363,93378) = 2906016738

Least Common Multiple (LCM) of 93363 and 93378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93363 and 93378. First we will calculate the prime factors of 93363 and 93378.

Prime Factorization of 93363

Prime Factorization of 93378

Now multiplying the highest exponent prime factors to calculate the LCM of 93363 and 93378.

LCM(93363,93378) = 3¹ × 31121¹ × 2¹ × 79¹ × 197¹
LCM(93363,93378) = 2906016738