What is the Least Common Multiple of 16490 and 16500?

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 16490 and 16500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16490 and 16500, than apply into the LCM equation.

GCF(16490,16500) = 10
LCM(16490,16500) = ( 16490 × 16500) / 10
LCM(16490,16500) = 272085000 / 10
LCM(16490,16500) = 27208500

Least Common Multiple (LCM) of 16490 and 16500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16490 and 16500. First we will calculate the prime factors of 16490 and 16500.

Prime Factorization of 16490

Prime Factorization of 16500

Now multiplying the highest exponent prime factors to calculate the LCM of 16490 and 16500.

LCM(16490,16500) = 2² × 5³ × 17¹ × 97¹ × 3¹ × 11¹
LCM(16490,16500) = 27208500