What is the Least Common Multiple of 25259 and 25272?

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 25259 and 25272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25259 and 25272, than apply into the LCM equation.

GCF(25259,25272) = 13
LCM(25259,25272) = ( 25259 × 25272) / 13
LCM(25259,25272) = 638345448 / 13
LCM(25259,25272) = 49103496

Least Common Multiple (LCM) of 25259 and 25272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25259 and 25272. First we will calculate the prime factors of 25259 and 25272.

Prime Factorization of 25259

Prime Factorization of 25272

Now multiplying the highest exponent prime factors to calculate the LCM of 25259 and 25272.

LCM(25259,25272) = 13¹ × 29¹ × 67¹ × 2³ × 3⁵
LCM(25259,25272) = 49103496