What is the Least Common Multiple of 25848 and 25861?

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 25848 and 25861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25848 and 25861, than apply into the LCM equation.

GCF(25848,25861) = 1
LCM(25848,25861) = ( 25848 × 25861) / 1
LCM(25848,25861) = 668455128 / 1
LCM(25848,25861) = 668455128

Least Common Multiple (LCM) of 25848 and 25861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25848 and 25861. First we will calculate the prime factors of 25848 and 25861.

Prime Factorization of 25848

Prime Factorization of 25861

Now multiplying the highest exponent prime factors to calculate the LCM of 25848 and 25861.

LCM(25848,25861) = 2³ × 3² × 359¹ × 11¹ × 2351¹
LCM(25848,25861) = 668455128