What is the Least Common Multiple of 25376 and 25385?

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 25385 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 25385, than apply into the LCM equation.

GCF(25376,25385) = 1
LCM(25376,25385) = ( 25376 × 25385) / 1
LCM(25376,25385) = 644169760 / 1
LCM(25376,25385) = 644169760

Least Common Multiple (LCM) of 25376 and 25385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25376 and 25385. First we will calculate the prime factors of 25376 and 25385.

Prime Factorization of 25376

Prime Factorization of 25385

Now multiplying the highest exponent prime factors to calculate the LCM of 25376 and 25385.

LCM(25376,25385) = 2⁵ × 13¹ × 61¹ × 5¹ × 5077¹
LCM(25376,25385) = 644169760