What is the Least Common Multiple of 16467 and 16487?

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 16487 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 16487, than apply into the LCM equation.

GCF(16467,16487) = 1
LCM(16467,16487) = ( 16467 × 16487) / 1
LCM(16467,16487) = 271491429 / 1
LCM(16467,16487) = 271491429

Least Common Multiple (LCM) of 16467 and 16487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16467 and 16487. First we will calculate the prime factors of 16467 and 16487.

Prime Factorization of 16467

Prime Factorization of 16487

Now multiplying the highest exponent prime factors to calculate the LCM of 16467 and 16487.

LCM(16467,16487) = 3¹ × 11¹ × 499¹ × 16487¹
LCM(16467,16487) = 271491429