What is the Least Common Multiple of 25824 and 25828?

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 25824 and 25828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25824 and 25828, than apply into the LCM equation.

GCF(25824,25828) = 4
LCM(25824,25828) = ( 25824 × 25828) / 4
LCM(25824,25828) = 666982272 / 4
LCM(25824,25828) = 166745568

Least Common Multiple (LCM) of 25824 and 25828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25824 and 25828. First we will calculate the prime factors of 25824 and 25828.

Prime Factorization of 25824

Prime Factorization of 25828

Now multiplying the highest exponent prime factors to calculate the LCM of 25824 and 25828.

LCM(25824,25828) = 2⁵ × 3¹ × 269¹ × 11¹ × 587¹
LCM(25824,25828) = 166745568