What is the Least Common Multiple of 27168 and 27178?

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 27178 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 27178, than apply into the LCM equation.

GCF(27168,27178) = 2
LCM(27168,27178) = ( 27168 × 27178) / 2
LCM(27168,27178) = 738371904 / 2
LCM(27168,27178) = 369185952

Least Common Multiple (LCM) of 27168 and 27178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27168 and 27178. First we will calculate the prime factors of 27168 and 27178.

Prime Factorization of 27168

Prime Factorization of 27178

Now multiplying the highest exponent prime factors to calculate the LCM of 27168 and 27178.

LCM(27168,27178) = 2⁵ × 3¹ × 283¹ × 107¹ × 127¹
LCM(27168,27178) = 369185952