What is the Least Common Multiple of 25584 and 25596?

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 25584 and 25596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25584 and 25596, than apply into the LCM equation.

GCF(25584,25596) = 12
LCM(25584,25596) = ( 25584 × 25596) / 12
LCM(25584,25596) = 654848064 / 12
LCM(25584,25596) = 54570672

Least Common Multiple (LCM) of 25584 and 25596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25584 and 25596. First we will calculate the prime factors of 25584 and 25596.

Prime Factorization of 25584

Prime Factorization of 25596

Now multiplying the highest exponent prime factors to calculate the LCM of 25584 and 25596.

LCM(25584,25596) = 2⁴ × 3⁴ × 13¹ × 41¹ × 79¹
LCM(25584,25596) = 54570672