What is the Least Common Multiple of 25764 and 25782?

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 25764 and 25782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25764 and 25782, than apply into the LCM equation.

GCF(25764,25782) = 6
LCM(25764,25782) = ( 25764 × 25782) / 6
LCM(25764,25782) = 664247448 / 6
LCM(25764,25782) = 110707908

Least Common Multiple (LCM) of 25764 and 25782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25764 and 25782. First we will calculate the prime factors of 25764 and 25782.

Prime Factorization of 25764

Prime Factorization of 25782

Now multiplying the highest exponent prime factors to calculate the LCM of 25764 and 25782.

LCM(25764,25782) = 2² × 3¹ × 19¹ × 113¹ × 4297¹
LCM(25764,25782) = 110707908