What is the Least Common Multiple of 18408 and 18412?

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 18408 and 18412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18408 and 18412, than apply into the LCM equation.

GCF(18408,18412) = 4
LCM(18408,18412) = ( 18408 × 18412) / 4
LCM(18408,18412) = 338928096 / 4
LCM(18408,18412) = 84732024

Least Common Multiple (LCM) of 18408 and 18412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18408 and 18412. First we will calculate the prime factors of 18408 and 18412.

Prime Factorization of 18408

Prime Factorization of 18412

Now multiplying the highest exponent prime factors to calculate the LCM of 18408 and 18412.

LCM(18408,18412) = 2³ × 3¹ × 13¹ × 59¹ × 4603¹
LCM(18408,18412) = 84732024