What is the Least Common Multiple of 25257 and 25275?

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 25257 and 25275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25257 and 25275, than apply into the LCM equation.

GCF(25257,25275) = 3
LCM(25257,25275) = ( 25257 × 25275) / 3
LCM(25257,25275) = 638370675 / 3
LCM(25257,25275) = 212790225

Least Common Multiple (LCM) of 25257 and 25275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25257 and 25275. First we will calculate the prime factors of 25257 and 25275.

Prime Factorization of 25257

Prime Factorization of 25275

Now multiplying the highest exponent prime factors to calculate the LCM of 25257 and 25275.

LCM(25257,25275) = 3¹ × 8419¹ × 5² × 337¹
LCM(25257,25275) = 212790225