What is the Least Common Multiple of 25850 and 25856?

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 25850 and 25856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25850 and 25856, than apply into the LCM equation.

GCF(25850,25856) = 2
LCM(25850,25856) = ( 25850 × 25856) / 2
LCM(25850,25856) = 668377600 / 2
LCM(25850,25856) = 334188800

Least Common Multiple (LCM) of 25850 and 25856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25850 and 25856. First we will calculate the prime factors of 25850 and 25856.

Prime Factorization of 25850

Prime Factorization of 25856

Now multiplying the highest exponent prime factors to calculate the LCM of 25850 and 25856.

LCM(25850,25856) = 2⁸ × 5² × 11¹ × 47¹ × 101¹
LCM(25850,25856) = 334188800