What is the Least Common Multiple of 34209 and 34227?

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 34209 and 34227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34209 and 34227, than apply into the LCM equation.

GCF(34209,34227) = 9
LCM(34209,34227) = ( 34209 × 34227) / 9
LCM(34209,34227) = 1170871443 / 9
LCM(34209,34227) = 130096827

Least Common Multiple (LCM) of 34209 and 34227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34209 and 34227. First we will calculate the prime factors of 34209 and 34227.

Prime Factorization of 34209

Prime Factorization of 34227

Now multiplying the highest exponent prime factors to calculate the LCM of 34209 and 34227.

LCM(34209,34227) = 3³ × 7¹ × 181¹ × 3803¹
LCM(34209,34227) = 130096827