What is the Least Common Multiple of 25251 and 25257?

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 25251 and 25257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25251 and 25257, than apply into the LCM equation.

GCF(25251,25257) = 3
LCM(25251,25257) = ( 25251 × 25257) / 3
LCM(25251,25257) = 637764507 / 3
LCM(25251,25257) = 212588169

Least Common Multiple (LCM) of 25251 and 25257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25251 and 25257. First we will calculate the prime factors of 25251 and 25257.

Prime Factorization of 25251

Prime Factorization of 25257

Now multiplying the highest exponent prime factors to calculate the LCM of 25251 and 25257.

LCM(25251,25257) = 3¹ × 19¹ × 443¹ × 8419¹
LCM(25251,25257) = 212588169