What is the Least Common Multiple of 18036 and 18047?

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 18036 and 18047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18036 and 18047, than apply into the LCM equation.

GCF(18036,18047) = 1
LCM(18036,18047) = ( 18036 × 18047) / 1
LCM(18036,18047) = 325495692 / 1
LCM(18036,18047) = 325495692

Least Common Multiple (LCM) of 18036 and 18047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18036 and 18047. First we will calculate the prime factors of 18036 and 18047.

Prime Factorization of 18036

Prime Factorization of 18047

Now multiplying the highest exponent prime factors to calculate the LCM of 18036 and 18047.

LCM(18036,18047) = 2² × 3³ × 167¹ × 18047¹
LCM(18036,18047) = 325495692