What is the Least Common Multiple of 23168 and 23175?

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 23168 and 23175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23168 and 23175, than apply into the LCM equation.

GCF(23168,23175) = 1
LCM(23168,23175) = ( 23168 × 23175) / 1
LCM(23168,23175) = 536918400 / 1
LCM(23168,23175) = 536918400

Least Common Multiple (LCM) of 23168 and 23175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23168 and 23175. First we will calculate the prime factors of 23168 and 23175.

Prime Factorization of 23168

Prime Factorization of 23175

Now multiplying the highest exponent prime factors to calculate the LCM of 23168 and 23175.

LCM(23168,23175) = 2⁷ × 181¹ × 3² × 5² × 103¹
LCM(23168,23175) = 536918400