What is the Least Common Multiple of 18165 and 18184?

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 18165 and 18184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18165 and 18184, than apply into the LCM equation.

GCF(18165,18184) = 1
LCM(18165,18184) = ( 18165 × 18184) / 1
LCM(18165,18184) = 330312360 / 1
LCM(18165,18184) = 330312360

Least Common Multiple (LCM) of 18165 and 18184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18165 and 18184. First we will calculate the prime factors of 18165 and 18184.

Prime Factorization of 18165

Prime Factorization of 18184

Now multiplying the highest exponent prime factors to calculate the LCM of 18165 and 18184.

LCM(18165,18184) = 3¹ × 5¹ × 7¹ × 173¹ × 2³ × 2273¹
LCM(18165,18184) = 330312360