What is the Least Common Multiple of 16489 and 16508?

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 16489 and 16508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16489 and 16508, than apply into the LCM equation.

GCF(16489,16508) = 1
LCM(16489,16508) = ( 16489 × 16508) / 1
LCM(16489,16508) = 272200412 / 1
LCM(16489,16508) = 272200412

Least Common Multiple (LCM) of 16489 and 16508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16489 and 16508. First we will calculate the prime factors of 16489 and 16508.

Prime Factorization of 16489

Prime Factorization of 16508

Now multiplying the highest exponent prime factors to calculate the LCM of 16489 and 16508.

LCM(16489,16508) = 11¹ × 1499¹ × 2² × 4127¹
LCM(16489,16508) = 272200412