What is the Least Common Multiple of 13194 and 13205?

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 13194 and 13205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13194 and 13205, than apply into the LCM equation.

GCF(13194,13205) = 1
LCM(13194,13205) = ( 13194 × 13205) / 1
LCM(13194,13205) = 174226770 / 1
LCM(13194,13205) = 174226770

Least Common Multiple (LCM) of 13194 and 13205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13194 and 13205. First we will calculate the prime factors of 13194 and 13205.

Prime Factorization of 13194

Prime Factorization of 13205

Now multiplying the highest exponent prime factors to calculate the LCM of 13194 and 13205.

LCM(13194,13205) = 2¹ × 3² × 733¹ × 5¹ × 19¹ × 139¹
LCM(13194,13205) = 174226770