What is the Least Common Multiple of 25326 and 25344?

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 25326 and 25344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25326 and 25344, than apply into the LCM equation.

GCF(25326,25344) = 18
LCM(25326,25344) = ( 25326 × 25344) / 18
LCM(25326,25344) = 641862144 / 18
LCM(25326,25344) = 35659008

Least Common Multiple (LCM) of 25326 and 25344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25326 and 25344. First we will calculate the prime factors of 25326 and 25344.

Prime Factorization of 25326

Prime Factorization of 25344

Now multiplying the highest exponent prime factors to calculate the LCM of 25326 and 25344.

LCM(25326,25344) = 2⁸ × 3³ × 7¹ × 67¹ × 11¹
LCM(25326,25344) = 35659008