What is the Least Common Multiple of 25859 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 25859 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 25859 and 25872, than apply into the LCM equation.

GCF(25859,25872) = 1
LCM(25859,25872) = ( 25859 × 25872) / 1
LCM(25859,25872) = 669024048 / 1
LCM(25859,25872) = 669024048

Least Common Multiple (LCM) of 25859 and 25872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25859 and 25872. First we will calculate the prime factors of 25859 and 25872.

Prime Factorization of 25859

Prime Factorization of 25872

Now multiplying the highest exponent prime factors to calculate the LCM of 25859 and 25872.

LCM(25859,25872) = 19¹ × 1361¹ × 2⁴ × 3¹ × 7² × 11¹
LCM(25859,25872) = 669024048