What is the Least Common Multiple of 18180 and 18189?

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 18180 and 18189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18180 and 18189, than apply into the LCM equation.

GCF(18180,18189) = 9
LCM(18180,18189) = ( 18180 × 18189) / 9
LCM(18180,18189) = 330676020 / 9
LCM(18180,18189) = 36741780

Least Common Multiple (LCM) of 18180 and 18189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18180 and 18189. First we will calculate the prime factors of 18180 and 18189.

Prime Factorization of 18180

Prime Factorization of 18189

Now multiplying the highest exponent prime factors to calculate the LCM of 18180 and 18189.

LCM(18180,18189) = 2² × 3² × 5¹ × 101¹ × 43¹ × 47¹
LCM(18180,18189) = 36741780