What is the Least Common Multiple of 25644 and 25656?

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 25644 and 25656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25644 and 25656, than apply into the LCM equation.

GCF(25644,25656) = 12
LCM(25644,25656) = ( 25644 × 25656) / 12
LCM(25644,25656) = 657922464 / 12
LCM(25644,25656) = 54826872

Least Common Multiple (LCM) of 25644 and 25656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25644 and 25656. First we will calculate the prime factors of 25644 and 25656.

Prime Factorization of 25644

Prime Factorization of 25656

Now multiplying the highest exponent prime factors to calculate the LCM of 25644 and 25656.

LCM(25644,25656) = 2³ × 3¹ × 2137¹ × 1069¹
LCM(25644,25656) = 54826872