What is the Least Common Multiple of 25209 and 25226?

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 25209 and 25226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25209 and 25226, than apply into the LCM equation.

GCF(25209,25226) = 1
LCM(25209,25226) = ( 25209 × 25226) / 1
LCM(25209,25226) = 635922234 / 1
LCM(25209,25226) = 635922234

Least Common Multiple (LCM) of 25209 and 25226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25209 and 25226. First we will calculate the prime factors of 25209 and 25226.

Prime Factorization of 25209

Prime Factorization of 25226

Now multiplying the highest exponent prime factors to calculate the LCM of 25209 and 25226.

LCM(25209,25226) = 3² × 2801¹ × 2¹ × 12613¹
LCM(25209,25226) = 635922234