What is the Least Common Multiple of 18438 and 18456?

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 18438 and 18456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18438 and 18456, than apply into the LCM equation.

GCF(18438,18456) = 6
LCM(18438,18456) = ( 18438 × 18456) / 6
LCM(18438,18456) = 340291728 / 6
LCM(18438,18456) = 56715288

Least Common Multiple (LCM) of 18438 and 18456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18438 and 18456. First we will calculate the prime factors of 18438 and 18456.

Prime Factorization of 18438

Prime Factorization of 18456

Now multiplying the highest exponent prime factors to calculate the LCM of 18438 and 18456.

LCM(18438,18456) = 2³ × 3¹ × 7¹ × 439¹ × 769¹
LCM(18438,18456) = 56715288