What is the Least Common Multiple of 25376 and 25384?

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 25384 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 25384, than apply into the LCM equation.

GCF(25376,25384) = 8
LCM(25376,25384) = ( 25376 × 25384) / 8
LCM(25376,25384) = 644144384 / 8
LCM(25376,25384) = 80518048

Least Common Multiple (LCM) of 25376 and 25384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25376 and 25384. First we will calculate the prime factors of 25376 and 25384.

Prime Factorization of 25376

Prime Factorization of 25384

Now multiplying the highest exponent prime factors to calculate the LCM of 25376 and 25384.

LCM(25376,25384) = 2⁵ × 13¹ × 61¹ × 19¹ × 167¹
LCM(25376,25384) = 80518048