What is the Least Common Multiple of 18456 and 18460?

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 18460 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 18460, than apply into the LCM equation.

GCF(18456,18460) = 4
LCM(18456,18460) = ( 18456 × 18460) / 4
LCM(18456,18460) = 340697760 / 4
LCM(18456,18460) = 85174440

Least Common Multiple (LCM) of 18456 and 18460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18456 and 18460. First we will calculate the prime factors of 18456 and 18460.

Prime Factorization of 18456

Prime Factorization of 18460

Now multiplying the highest exponent prime factors to calculate the LCM of 18456 and 18460.

LCM(18456,18460) = 2³ × 3¹ × 769¹ × 5¹ × 13¹ × 71¹
LCM(18456,18460) = 85174440