What is the Least Common Multiple of 25355 and 25375?

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 25355 and 25375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25355 and 25375, than apply into the LCM equation.

GCF(25355,25375) = 5
LCM(25355,25375) = ( 25355 × 25375) / 5
LCM(25355,25375) = 643383125 / 5
LCM(25355,25375) = 128676625

Least Common Multiple (LCM) of 25355 and 25375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25355 and 25375. First we will calculate the prime factors of 25355 and 25375.

Prime Factorization of 25355

Prime Factorization of 25375

Now multiplying the highest exponent prime factors to calculate the LCM of 25355 and 25375.

LCM(25355,25375) = 5³ × 11¹ × 461¹ × 7¹ × 29¹
LCM(25355,25375) = 128676625