What is the Least Common Multiple of 18321 and 18336?

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 18321 and 18336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18321 and 18336, than apply into the LCM equation.

GCF(18321,18336) = 3
LCM(18321,18336) = ( 18321 × 18336) / 3
LCM(18321,18336) = 335933856 / 3
LCM(18321,18336) = 111977952

Least Common Multiple (LCM) of 18321 and 18336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18321 and 18336. First we will calculate the prime factors of 18321 and 18336.

Prime Factorization of 18321

Prime Factorization of 18336

Now multiplying the highest exponent prime factors to calculate the LCM of 18321 and 18336.

LCM(18321,18336) = 3¹ × 31¹ × 197¹ × 2⁵ × 191¹
LCM(18321,18336) = 111977952