What is the Least Common Multiple of 93318 and 93329?

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 93318 and 93329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93318 and 93329, than apply into the LCM equation.

GCF(93318,93329) = 1
LCM(93318,93329) = ( 93318 × 93329) / 1
LCM(93318,93329) = 8709275622 / 1
LCM(93318,93329) = 8709275622

Least Common Multiple (LCM) of 93318 and 93329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93318 and 93329. First we will calculate the prime factors of 93318 and 93329.

Prime Factorization of 93318

Prime Factorization of 93329

Now multiplying the highest exponent prime factors to calculate the LCM of 93318 and 93329.

LCM(93318,93329) = 2¹ × 3¹ × 103¹ × 151¹ × 93329¹
LCM(93318,93329) = 8709275622