What is the Least Common Multiple of 25209 and 25227?

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 25227 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 25227, than apply into the LCM equation.

GCF(25209,25227) = 9
LCM(25209,25227) = ( 25209 × 25227) / 9
LCM(25209,25227) = 635947443 / 9
LCM(25209,25227) = 70660827

Least Common Multiple (LCM) of 25209 and 25227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25209 and 25227. First we will calculate the prime factors of 25209 and 25227.

Prime Factorization of 25209

Prime Factorization of 25227

Now multiplying the highest exponent prime factors to calculate the LCM of 25209 and 25227.

LCM(25209,25227) = 3² × 2801¹ × 2803¹
LCM(25209,25227) = 70660827