What is the Least Common Multiple of 25809 and 25824?

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 25809 and 25824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25809 and 25824, than apply into the LCM equation.

GCF(25809,25824) = 3
LCM(25809,25824) = ( 25809 × 25824) / 3
LCM(25809,25824) = 666491616 / 3
LCM(25809,25824) = 222163872

Least Common Multiple (LCM) of 25809 and 25824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25809 and 25824. First we will calculate the prime factors of 25809 and 25824.

Prime Factorization of 25809

Prime Factorization of 25824

Now multiplying the highest exponent prime factors to calculate the LCM of 25809 and 25824.

LCM(25809,25824) = 3¹ × 7¹ × 1229¹ × 2⁵ × 269¹
LCM(25809,25824) = 222163872