What is the Least Common Multiple of 25848 and 25857?

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 25857 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 25857, than apply into the LCM equation.

GCF(25848,25857) = 9
LCM(25848,25857) = ( 25848 × 25857) / 9
LCM(25848,25857) = 668351736 / 9
LCM(25848,25857) = 74261304

Least Common Multiple (LCM) of 25848 and 25857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25848 and 25857. First we will calculate the prime factors of 25848 and 25857.

Prime Factorization of 25848

Prime Factorization of 25857

Now multiplying the highest exponent prime factors to calculate the LCM of 25848 and 25857.

LCM(25848,25857) = 2³ × 3² × 359¹ × 13² × 17¹
LCM(25848,25857) = 74261304