What is the Least Common Multiple of 9568 and 9586?

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 9568 and 9586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9568 and 9586, than apply into the LCM equation.

GCF(9568,9586) = 2
LCM(9568,9586) = ( 9568 × 9586) / 2
LCM(9568,9586) = 91718848 / 2
LCM(9568,9586) = 45859424

Least Common Multiple (LCM) of 9568 and 9586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9568 and 9586. First we will calculate the prime factors of 9568 and 9586.

Prime Factorization of 9568

Prime Factorization of 9586

Now multiplying the highest exponent prime factors to calculate the LCM of 9568 and 9586.

LCM(9568,9586) = 2⁵ × 13¹ × 23¹ × 4793¹
LCM(9568,9586) = 45859424