What is the Least Common Multiple of 18216 and 18225?

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 18216 and 18225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18216 and 18225, than apply into the LCM equation.

GCF(18216,18225) = 9
LCM(18216,18225) = ( 18216 × 18225) / 9
LCM(18216,18225) = 331986600 / 9
LCM(18216,18225) = 36887400

Least Common Multiple (LCM) of 18216 and 18225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18216 and 18225. First we will calculate the prime factors of 18216 and 18225.

Prime Factorization of 18216

Prime Factorization of 18225

Now multiplying the highest exponent prime factors to calculate the LCM of 18216 and 18225.

LCM(18216,18225) = 2³ × 3⁶ × 11¹ × 23¹ × 5²
LCM(18216,18225) = 36887400