What is the Least Common Multiple of 18204 and 18208?

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 18208 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 18208, than apply into the LCM equation.

GCF(18204,18208) = 4
LCM(18204,18208) = ( 18204 × 18208) / 4
LCM(18204,18208) = 331458432 / 4
LCM(18204,18208) = 82864608

Least Common Multiple (LCM) of 18204 and 18208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18204 and 18208. First we will calculate the prime factors of 18204 and 18208.

Prime Factorization of 18204

Prime Factorization of 18208

Now multiplying the highest exponent prime factors to calculate the LCM of 18204 and 18208.

LCM(18204,18208) = 2⁵ × 3¹ × 37¹ × 41¹ × 569¹
LCM(18204,18208) = 82864608