What is the Least Common Multiple of 18189 and 18201?

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 18189 and 18201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18189 and 18201, than apply into the LCM equation.

GCF(18189,18201) = 3
LCM(18189,18201) = ( 18189 × 18201) / 3
LCM(18189,18201) = 331057989 / 3
LCM(18189,18201) = 110352663

Least Common Multiple (LCM) of 18189 and 18201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18189 and 18201. First we will calculate the prime factors of 18189 and 18201.

Prime Factorization of 18189

Prime Factorization of 18201

Now multiplying the highest exponent prime factors to calculate the LCM of 18189 and 18201.

LCM(18189,18201) = 3² × 43¹ × 47¹ × 6067¹
LCM(18189,18201) = 110352663