What is the Least Common Multiple of 25204 and 25209?

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 25204 and 25209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25204 and 25209, than apply into the LCM equation.

GCF(25204,25209) = 1
LCM(25204,25209) = ( 25204 × 25209) / 1
LCM(25204,25209) = 635367636 / 1
LCM(25204,25209) = 635367636

Least Common Multiple (LCM) of 25204 and 25209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25204 and 25209. First we will calculate the prime factors of 25204 and 25209.

Prime Factorization of 25204

Prime Factorization of 25209

Now multiplying the highest exponent prime factors to calculate the LCM of 25204 and 25209.

LCM(25204,25209) = 2² × 6301¹ × 3² × 2801¹
LCM(25204,25209) = 635367636