What is the Least Common Multiple of 25577 and 25586?

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 25577 and 25586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25577 and 25586, than apply into the LCM equation.

GCF(25577,25586) = 1
LCM(25577,25586) = ( 25577 × 25586) / 1
LCM(25577,25586) = 654413122 / 1
LCM(25577,25586) = 654413122

Least Common Multiple (LCM) of 25577 and 25586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25577 and 25586. First we will calculate the prime factors of 25577 and 25586.

Prime Factorization of 25577

Prime Factorization of 25586

Now multiplying the highest exponent prime factors to calculate the LCM of 25577 and 25586.

LCM(25577,25586) = 25577¹ × 2¹ × 11¹ × 1163¹
LCM(25577,25586) = 654413122