What is the Least Common Multiple of 18009 and 18024?

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 18009 and 18024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18009 and 18024, than apply into the LCM equation.

GCF(18009,18024) = 3
LCM(18009,18024) = ( 18009 × 18024) / 3
LCM(18009,18024) = 324594216 / 3
LCM(18009,18024) = 108198072

Least Common Multiple (LCM) of 18009 and 18024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18009 and 18024. First we will calculate the prime factors of 18009 and 18024.

Prime Factorization of 18009

Prime Factorization of 18024

Now multiplying the highest exponent prime factors to calculate the LCM of 18009 and 18024.

LCM(18009,18024) = 3³ × 23¹ × 29¹ × 2³ × 751¹
LCM(18009,18024) = 108198072