What is the Least Common Multiple of 27168 and 27180?

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 27168 and 27180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27168 and 27180, than apply into the LCM equation.

GCF(27168,27180) = 12
LCM(27168,27180) = ( 27168 × 27180) / 12
LCM(27168,27180) = 738426240 / 12
LCM(27168,27180) = 61535520

Least Common Multiple (LCM) of 27168 and 27180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27168 and 27180. First we will calculate the prime factors of 27168 and 27180.

Prime Factorization of 27168

Prime Factorization of 27180

Now multiplying the highest exponent prime factors to calculate the LCM of 27168 and 27180.

LCM(27168,27180) = 2⁵ × 3² × 283¹ × 5¹ × 151¹
LCM(27168,27180) = 61535520