What is the Least Common Multiple of 25376 and 25389?

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 25376 and 25389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25376 and 25389, than apply into the LCM equation.

GCF(25376,25389) = 13
LCM(25376,25389) = ( 25376 × 25389) / 13
LCM(25376,25389) = 644271264 / 13
LCM(25376,25389) = 49559328

Least Common Multiple (LCM) of 25376 and 25389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25376 and 25389. First we will calculate the prime factors of 25376 and 25389.

Prime Factorization of 25376

Prime Factorization of 25389

Now multiplying the highest exponent prime factors to calculate the LCM of 25376 and 25389.

LCM(25376,25389) = 2⁵ × 13¹ × 61¹ × 3² × 7¹ × 31¹
LCM(25376,25389) = 49559328