What is the Least Common Multiple of 16475 and 16489?

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 16475 and 16489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16475 and 16489, than apply into the LCM equation.

GCF(16475,16489) = 1
LCM(16475,16489) = ( 16475 × 16489) / 1
LCM(16475,16489) = 271656275 / 1
LCM(16475,16489) = 271656275

Least Common Multiple (LCM) of 16475 and 16489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16475 and 16489. First we will calculate the prime factors of 16475 and 16489.

Prime Factorization of 16475

Prime Factorization of 16489

Now multiplying the highest exponent prime factors to calculate the LCM of 16475 and 16489.

LCM(16475,16489) = 5² × 659¹ × 11¹ × 1499¹
LCM(16475,16489) = 271656275