What is the Least Common Multiple of 16889 and 16900?

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 16900 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 16900, than apply into the LCM equation.

GCF(16889,16900) = 1
LCM(16889,16900) = ( 16889 × 16900) / 1
LCM(16889,16900) = 285424100 / 1
LCM(16889,16900) = 285424100

Least Common Multiple (LCM) of 16889 and 16900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16889 and 16900. First we will calculate the prime factors of 16889 and 16900.

Prime Factorization of 16889

Prime Factorization of 16900

Now multiplying the highest exponent prime factors to calculate the LCM of 16889 and 16900.

LCM(16889,16900) = 16889¹ × 2² × 5² × 13²
LCM(16889,16900) = 285424100