What is the Least Common Multiple of 25325 and 25340?

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 25325 and 25340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25325 and 25340, than apply into the LCM equation.

GCF(25325,25340) = 5
LCM(25325,25340) = ( 25325 × 25340) / 5
LCM(25325,25340) = 641735500 / 5
LCM(25325,25340) = 128347100

Least Common Multiple (LCM) of 25325 and 25340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25325 and 25340. First we will calculate the prime factors of 25325 and 25340.

Prime Factorization of 25325

Prime Factorization of 25340

Now multiplying the highest exponent prime factors to calculate the LCM of 25325 and 25340.

LCM(25325,25340) = 5² × 1013¹ × 2² × 7¹ × 181¹
LCM(25325,25340) = 128347100