What is the Least Common Multiple of 18456 and 18474?

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 18456 and 18474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18456 and 18474, than apply into the LCM equation.

GCF(18456,18474) = 6
LCM(18456,18474) = ( 18456 × 18474) / 6
LCM(18456,18474) = 340956144 / 6
LCM(18456,18474) = 56826024

Least Common Multiple (LCM) of 18456 and 18474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18456 and 18474. First we will calculate the prime factors of 18456 and 18474.

Prime Factorization of 18456

Prime Factorization of 18474

Now multiplying the highest exponent prime factors to calculate the LCM of 18456 and 18474.

LCM(18456,18474) = 2³ × 3¹ × 769¹ × 3079¹
LCM(18456,18474) = 56826024