What is the Least Common Multiple of 27168 and 27175?

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 27175 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 27175, than apply into the LCM equation.

GCF(27168,27175) = 1
LCM(27168,27175) = ( 27168 × 27175) / 1
LCM(27168,27175) = 738290400 / 1
LCM(27168,27175) = 738290400

Least Common Multiple (LCM) of 27168 and 27175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27168 and 27175. First we will calculate the prime factors of 27168 and 27175.

Prime Factorization of 27168

Prime Factorization of 27175

Now multiplying the highest exponent prime factors to calculate the LCM of 27168 and 27175.

LCM(27168,27175) = 2⁵ × 3¹ × 283¹ × 5² × 1087¹
LCM(27168,27175) = 738290400