What is the Least Common Multiple of 39568 and 39586?

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 39568 and 39586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39568 and 39586, than apply into the LCM equation.

GCF(39568,39586) = 2
LCM(39568,39586) = ( 39568 × 39586) / 2
LCM(39568,39586) = 1566338848 / 2
LCM(39568,39586) = 783169424

Least Common Multiple (LCM) of 39568 and 39586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39568 and 39586. First we will calculate the prime factors of 39568 and 39586.

Prime Factorization of 39568

Prime Factorization of 39586

Now multiplying the highest exponent prime factors to calculate the LCM of 39568 and 39586.

LCM(39568,39586) = 2⁴ × 2473¹ × 19793¹
LCM(39568,39586) = 783169424