What is the Least Common Multiple of 34170 and 34185?

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 34170 and 34185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34170 and 34185, than apply into the LCM equation.

GCF(34170,34185) = 15
LCM(34170,34185) = ( 34170 × 34185) / 15
LCM(34170,34185) = 1168101450 / 15
LCM(34170,34185) = 77873430

Least Common Multiple (LCM) of 34170 and 34185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34170 and 34185. First we will calculate the prime factors of 34170 and 34185.

Prime Factorization of 34170

Prime Factorization of 34185

Now multiplying the highest exponent prime factors to calculate the LCM of 34170 and 34185.

LCM(34170,34185) = 2¹ × 3¹ × 5¹ × 17¹ × 67¹ × 43¹ × 53¹
LCM(34170,34185) = 77873430