What is the Least Common Multiple of 25540 and 25559?

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 25540 and 25559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25540 and 25559, than apply into the LCM equation.

GCF(25540,25559) = 1
LCM(25540,25559) = ( 25540 × 25559) / 1
LCM(25540,25559) = 652776860 / 1
LCM(25540,25559) = 652776860

Least Common Multiple (LCM) of 25540 and 25559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25540 and 25559. First we will calculate the prime factors of 25540 and 25559.

Prime Factorization of 25540

Prime Factorization of 25559

Now multiplying the highest exponent prime factors to calculate the LCM of 25540 and 25559.

LCM(25540,25559) = 2² × 5¹ × 1277¹ × 61¹ × 419¹
LCM(25540,25559) = 652776860