What is the Least Common Multiple of 16585 and 16590?

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 16585 and 16590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16585 and 16590, than apply into the LCM equation.

GCF(16585,16590) = 5
LCM(16585,16590) = ( 16585 × 16590) / 5
LCM(16585,16590) = 275145150 / 5
LCM(16585,16590) = 55029030

Least Common Multiple (LCM) of 16585 and 16590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16585 and 16590. First we will calculate the prime factors of 16585 and 16590.

Prime Factorization of 16585

Prime Factorization of 16590

Now multiplying the highest exponent prime factors to calculate the LCM of 16585 and 16590.

LCM(16585,16590) = 5¹ × 31¹ × 107¹ × 2¹ × 3¹ × 7¹ × 79¹
LCM(16585,16590) = 55029030