What is the Least Common Multiple of 25584 and 25604?

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 25604 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 25604, than apply into the LCM equation.

GCF(25584,25604) = 4
LCM(25584,25604) = ( 25584 × 25604) / 4
LCM(25584,25604) = 655052736 / 4
LCM(25584,25604) = 163763184

Least Common Multiple (LCM) of 25584 and 25604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25584 and 25604. First we will calculate the prime factors of 25584 and 25604.

Prime Factorization of 25584

Prime Factorization of 25604

Now multiplying the highest exponent prime factors to calculate the LCM of 25584 and 25604.

LCM(25584,25604) = 2⁴ × 3¹ × 13¹ × 41¹ × 37¹ × 173¹
LCM(25584,25604) = 163763184