What is the Least Common Multiple of 25586 and 25601?

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 25586 and 25601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25586 and 25601, than apply into the LCM equation.

GCF(25586,25601) = 1
LCM(25586,25601) = ( 25586 × 25601) / 1
LCM(25586,25601) = 655027186 / 1
LCM(25586,25601) = 655027186

Least Common Multiple (LCM) of 25586 and 25601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25586 and 25601. First we will calculate the prime factors of 25586 and 25601.

Prime Factorization of 25586

Prime Factorization of 25601

Now multiplying the highest exponent prime factors to calculate the LCM of 25586 and 25601.

LCM(25586,25601) = 2¹ × 11¹ × 1163¹ × 25601¹
LCM(25586,25601) = 655027186