What is the Least Common Multiple of 25600 and 25609?

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 25600 and 25609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25600 and 25609, than apply into the LCM equation.

GCF(25600,25609) = 1
LCM(25600,25609) = ( 25600 × 25609) / 1
LCM(25600,25609) = 655590400 / 1
LCM(25600,25609) = 655590400

Least Common Multiple (LCM) of 25600 and 25609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25600 and 25609. First we will calculate the prime factors of 25600 and 25609.

Prime Factorization of 25600

Prime Factorization of 25609

Now multiplying the highest exponent prime factors to calculate the LCM of 25600 and 25609.

LCM(25600,25609) = 2¹⁰ × 5² × 25609¹
LCM(25600,25609) = 655590400