What is the Least Common Multiple of 34185 and 34194?

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 34185 and 34194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34185 and 34194, than apply into the LCM equation.

GCF(34185,34194) = 3
LCM(34185,34194) = ( 34185 × 34194) / 3
LCM(34185,34194) = 1168921890 / 3
LCM(34185,34194) = 389640630

Least Common Multiple (LCM) of 34185 and 34194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34185 and 34194. First we will calculate the prime factors of 34185 and 34194.

Prime Factorization of 34185

Prime Factorization of 34194

Now multiplying the highest exponent prime factors to calculate the LCM of 34185 and 34194.

LCM(34185,34194) = 3¹ × 5¹ × 43¹ × 53¹ × 2¹ × 41¹ × 139¹
LCM(34185,34194) = 389640630