What is the Least Common Multiple of 18297 and 18316?

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 18297 and 18316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18297 and 18316, than apply into the LCM equation.

GCF(18297,18316) = 19
LCM(18297,18316) = ( 18297 × 18316) / 19
LCM(18297,18316) = 335127852 / 19
LCM(18297,18316) = 17638308

Least Common Multiple (LCM) of 18297 and 18316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18297 and 18316. First we will calculate the prime factors of 18297 and 18316.

Prime Factorization of 18297

Prime Factorization of 18316

Now multiplying the highest exponent prime factors to calculate the LCM of 18297 and 18316.

LCM(18297,18316) = 3² × 19¹ × 107¹ × 2² × 241¹
LCM(18297,18316) = 17638308