What is the Least Common Multiple of 16467 and 16482?

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 16467 and 16482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16467 and 16482, than apply into the LCM equation.

GCF(16467,16482) = 3
LCM(16467,16482) = ( 16467 × 16482) / 3
LCM(16467,16482) = 271409094 / 3
LCM(16467,16482) = 90469698

Least Common Multiple (LCM) of 16467 and 16482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16467 and 16482. First we will calculate the prime factors of 16467 and 16482.

Prime Factorization of 16467

Prime Factorization of 16482

Now multiplying the highest exponent prime factors to calculate the LCM of 16467 and 16482.

LCM(16467,16482) = 3¹ × 11¹ × 499¹ × 2¹ × 41¹ × 67¹
LCM(16467,16482) = 90469698