What is the Least Common Multiple of 25904 and 25916?

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 25904 and 25916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25904 and 25916, than apply into the LCM equation.

GCF(25904,25916) = 4
LCM(25904,25916) = ( 25904 × 25916) / 4
LCM(25904,25916) = 671328064 / 4
LCM(25904,25916) = 167832016

Least Common Multiple (LCM) of 25904 and 25916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25904 and 25916. First we will calculate the prime factors of 25904 and 25916.

Prime Factorization of 25904

Prime Factorization of 25916

Now multiplying the highest exponent prime factors to calculate the LCM of 25904 and 25916.

LCM(25904,25916) = 2⁴ × 1619¹ × 11¹ × 19¹ × 31¹
LCM(25904,25916) = 167832016