What is the Least Common Multiple of 65568 and 65586?

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 65568 and 65586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65568 and 65586, than apply into the LCM equation.

GCF(65568,65586) = 6
LCM(65568,65586) = ( 65568 × 65586) / 6
LCM(65568,65586) = 4300342848 / 6
LCM(65568,65586) = 716723808

Least Common Multiple (LCM) of 65568 and 65586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65568 and 65586. First we will calculate the prime factors of 65568 and 65586.

Prime Factorization of 65568

Prime Factorization of 65586

Now multiplying the highest exponent prime factors to calculate the LCM of 65568 and 65586.

LCM(65568,65586) = 2⁵ × 3¹ × 683¹ × 17¹ × 643¹
LCM(65568,65586) = 716723808