What is the Least Common Multiple of 25580 and 25595?

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 25580 and 25595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25580 and 25595, than apply into the LCM equation.

GCF(25580,25595) = 5
LCM(25580,25595) = ( 25580 × 25595) / 5
LCM(25580,25595) = 654720100 / 5
LCM(25580,25595) = 130944020

Least Common Multiple (LCM) of 25580 and 25595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25580 and 25595. First we will calculate the prime factors of 25580 and 25595.

Prime Factorization of 25580

Prime Factorization of 25595

Now multiplying the highest exponent prime factors to calculate the LCM of 25580 and 25595.

LCM(25580,25595) = 2² × 5¹ × 1279¹ × 5119¹
LCM(25580,25595) = 130944020