What is the Least Common Multiple of 25854 and 25872?

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 25854 and 25872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25854 and 25872, than apply into the LCM equation.

GCF(25854,25872) = 6
LCM(25854,25872) = ( 25854 × 25872) / 6
LCM(25854,25872) = 668894688 / 6
LCM(25854,25872) = 111482448

Least Common Multiple (LCM) of 25854 and 25872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25854 and 25872. First we will calculate the prime factors of 25854 and 25872.

Prime Factorization of 25854

Prime Factorization of 25872

Now multiplying the highest exponent prime factors to calculate the LCM of 25854 and 25872.

LCM(25854,25872) = 2⁴ × 3¹ × 31¹ × 139¹ × 7² × 11¹
LCM(25854,25872) = 111482448