What is the Least Common Multiple of 25376 and 25382?

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 25382 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 25382, than apply into the LCM equation.

GCF(25376,25382) = 2
LCM(25376,25382) = ( 25376 × 25382) / 2
LCM(25376,25382) = 644093632 / 2
LCM(25376,25382) = 322046816

Least Common Multiple (LCM) of 25376 and 25382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25376 and 25382. First we will calculate the prime factors of 25376 and 25382.

Prime Factorization of 25376

Prime Factorization of 25382

Now multiplying the highest exponent prime factors to calculate the LCM of 25376 and 25382.

LCM(25376,25382) = 2⁵ × 13¹ × 61¹ × 7³ × 37¹
LCM(25376,25382) = 322046816