What is the Least Common Multiple of 18204 and 18216?

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 18204 and 18216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18204 and 18216, than apply into the LCM equation.

GCF(18204,18216) = 12
LCM(18204,18216) = ( 18204 × 18216) / 12
LCM(18204,18216) = 331604064 / 12
LCM(18204,18216) = 27633672

Least Common Multiple (LCM) of 18204 and 18216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18204 and 18216. First we will calculate the prime factors of 18204 and 18216.

Prime Factorization of 18204

Prime Factorization of 18216

Now multiplying the highest exponent prime factors to calculate the LCM of 18204 and 18216.

LCM(18204,18216) = 2³ × 3² × 37¹ × 41¹ × 11¹ × 23¹
LCM(18204,18216) = 27633672