What is the Least Common Multiple of 23160 and 23168?

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 23160 and 23168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23160 and 23168, than apply into the LCM equation.

GCF(23160,23168) = 8
LCM(23160,23168) = ( 23160 × 23168) / 8
LCM(23160,23168) = 536570880 / 8
LCM(23160,23168) = 67071360

Least Common Multiple (LCM) of 23160 and 23168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23160 and 23168. First we will calculate the prime factors of 23160 and 23168.

Prime Factorization of 23160

Prime Factorization of 23168

Now multiplying the highest exponent prime factors to calculate the LCM of 23160 and 23168.

LCM(23160,23168) = 2⁷ × 3¹ × 5¹ × 193¹ × 181¹
LCM(23160,23168) = 67071360