What is the Least Common Multiple of 23146 and 23160?

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 23146 and 23160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23146 and 23160, than apply into the LCM equation.

GCF(23146,23160) = 2
LCM(23146,23160) = ( 23146 × 23160) / 2
LCM(23146,23160) = 536061360 / 2
LCM(23146,23160) = 268030680

Least Common Multiple (LCM) of 23146 and 23160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23146 and 23160. First we will calculate the prime factors of 23146 and 23160.

Prime Factorization of 23146

Prime Factorization of 23160

Now multiplying the highest exponent prime factors to calculate the LCM of 23146 and 23160.

LCM(23146,23160) = 2³ × 71¹ × 163¹ × 3¹ × 5¹ × 193¹
LCM(23146,23160) = 268030680