What is the Least Common Multiple of 16889 and 16908?

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 16889 and 16908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16889 and 16908, than apply into the LCM equation.

GCF(16889,16908) = 1
LCM(16889,16908) = ( 16889 × 16908) / 1
LCM(16889,16908) = 285559212 / 1
LCM(16889,16908) = 285559212

Least Common Multiple (LCM) of 16889 and 16908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16889 and 16908. First we will calculate the prime factors of 16889 and 16908.

Prime Factorization of 16889

Prime Factorization of 16908

Now multiplying the highest exponent prime factors to calculate the LCM of 16889 and 16908.

LCM(16889,16908) = 16889¹ × 2² × 3¹ × 1409¹
LCM(16889,16908) = 285559212