What is the Least Common Multiple of 18168 and 18180?

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 18168 and 18180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18168 and 18180, than apply into the LCM equation.

GCF(18168,18180) = 12
LCM(18168,18180) = ( 18168 × 18180) / 12
LCM(18168,18180) = 330294240 / 12
LCM(18168,18180) = 27524520

Least Common Multiple (LCM) of 18168 and 18180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18168 and 18180. First we will calculate the prime factors of 18168 and 18180.

Prime Factorization of 18168

Prime Factorization of 18180

Now multiplying the highest exponent prime factors to calculate the LCM of 18168 and 18180.

LCM(18168,18180) = 2³ × 3² × 757¹ × 5¹ × 101¹
LCM(18168,18180) = 27524520