What is the Least Common Multiple of 18024 and 18038?

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 18024 and 18038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18024 and 18038, than apply into the LCM equation.

GCF(18024,18038) = 2
LCM(18024,18038) = ( 18024 × 18038) / 2
LCM(18024,18038) = 325116912 / 2
LCM(18024,18038) = 162558456

Least Common Multiple (LCM) of 18024 and 18038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18024 and 18038. First we will calculate the prime factors of 18024 and 18038.

Prime Factorization of 18024

Prime Factorization of 18038

Now multiplying the highest exponent prime factors to calculate the LCM of 18024 and 18038.

LCM(18024,18038) = 2³ × 3¹ × 751¹ × 29¹ × 311¹
LCM(18024,18038) = 162558456