What is the Least Common Multiple of 25608 and 25614?

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 25608 and 25614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25608 and 25614, than apply into the LCM equation.

GCF(25608,25614) = 6
LCM(25608,25614) = ( 25608 × 25614) / 6
LCM(25608,25614) = 655923312 / 6
LCM(25608,25614) = 109320552

Least Common Multiple (LCM) of 25608 and 25614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25608 and 25614. First we will calculate the prime factors of 25608 and 25614.

Prime Factorization of 25608

Prime Factorization of 25614

Now multiplying the highest exponent prime factors to calculate the LCM of 25608 and 25614.

LCM(25608,25614) = 2³ × 3² × 11¹ × 97¹ × 1423¹
LCM(25608,25614) = 109320552