GCF and LCM Calculator Logo

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 (LCM) of 25600 and 25609 is 655590400.

LCM(25600,25609) = 655590400

LCM Calculator and
and

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 factors of 25600 are 2, 5. Prime factorization of 25600 in exponential form is:

25600 = 210 × 52

Prime Factorization of 25609

Prime factors of 25609 are 25609. Prime factorization of 25609 in exponential form is:

25609 = 256091

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