What is the Least Common Multiple of 18468 and 18484?

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 18468 and 18484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18468 and 18484, than apply into the LCM equation.

GCF(18468,18484) = 4
LCM(18468,18484) = ( 18468 × 18484) / 4
LCM(18468,18484) = 341362512 / 4
LCM(18468,18484) = 85340628

Least Common Multiple (LCM) of 18468 and 18484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18468 and 18484. First we will calculate the prime factors of 18468 and 18484.

Prime Factorization of 18468

Prime Factorization of 18484

Now multiplying the highest exponent prime factors to calculate the LCM of 18468 and 18484.

LCM(18468,18484) = 2² × 3⁵ × 19¹ × 4621¹
LCM(18468,18484) = 85340628