What is the Least Common Multiple of 25358 and 25376?

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 25358 and 25376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25358 and 25376, than apply into the LCM equation.

GCF(25358,25376) = 2
LCM(25358,25376) = ( 25358 × 25376) / 2
LCM(25358,25376) = 643484608 / 2
LCM(25358,25376) = 321742304

Least Common Multiple (LCM) of 25358 and 25376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25358 and 25376. First we will calculate the prime factors of 25358 and 25376.

Prime Factorization of 25358

Prime Factorization of 25376

Now multiplying the highest exponent prime factors to calculate the LCM of 25358 and 25376.

LCM(25358,25376) = 2⁵ × 31¹ × 409¹ × 13¹ × 61¹
LCM(25358,25376) = 321742304