What is the Least Common Multiple of 16900 and 16916?

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 16900 and 16916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16900 and 16916, than apply into the LCM equation.

GCF(16900,16916) = 4
LCM(16900,16916) = ( 16900 × 16916) / 4
LCM(16900,16916) = 285880400 / 4
LCM(16900,16916) = 71470100

Least Common Multiple (LCM) of 16900 and 16916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16900 and 16916. First we will calculate the prime factors of 16900 and 16916.

Prime Factorization of 16900

Prime Factorization of 16916

Now multiplying the highest exponent prime factors to calculate the LCM of 16900 and 16916.

LCM(16900,16916) = 2² × 5² × 13² × 4229¹
LCM(16900,16916) = 71470100