What is the Least Common Multiple of 25344 and 25364?

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 25344 and 25364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25344 and 25364, than apply into the LCM equation.

GCF(25344,25364) = 4
LCM(25344,25364) = ( 25344 × 25364) / 4
LCM(25344,25364) = 642825216 / 4
LCM(25344,25364) = 160706304

Least Common Multiple (LCM) of 25344 and 25364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25344 and 25364. First we will calculate the prime factors of 25344 and 25364.

Prime Factorization of 25344

Prime Factorization of 25364

Now multiplying the highest exponent prime factors to calculate the LCM of 25344 and 25364.

LCM(25344,25364) = 2⁸ × 3² × 11¹ × 17¹ × 373¹
LCM(25344,25364) = 160706304