What is the Least Common Multiple of 93345 and 93363?

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 93345 and 93363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93345 and 93363, than apply into the LCM equation.

GCF(93345,93363) = 3
LCM(93345,93363) = ( 93345 × 93363) / 3
LCM(93345,93363) = 8714969235 / 3
LCM(93345,93363) = 2904989745

Least Common Multiple (LCM) of 93345 and 93363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93345 and 93363. First we will calculate the prime factors of 93345 and 93363.

Prime Factorization of 93345

Prime Factorization of 93363

Now multiplying the highest exponent prime factors to calculate the LCM of 93345 and 93363.

LCM(93345,93363) = 3¹ × 5¹ × 7² × 127¹ × 31121¹
LCM(93345,93363) = 2904989745