What is the Least Common Multiple of 27168 and 27186?

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 27186 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 27186, than apply into the LCM equation.

GCF(27168,27186) = 6
LCM(27168,27186) = ( 27168 × 27186) / 6
LCM(27168,27186) = 738589248 / 6
LCM(27168,27186) = 123098208

Least Common Multiple (LCM) of 27168 and 27186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27168 and 27186. First we will calculate the prime factors of 27168 and 27186.

Prime Factorization of 27168

Prime Factorization of 27186

Now multiplying the highest exponent prime factors to calculate the LCM of 27168 and 27186.

LCM(27168,27186) = 2⁵ × 3¹ × 283¹ × 23¹ × 197¹
LCM(27168,27186) = 123098208