What is the Least Common Multiple of 34170 and 34178?

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 34178 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 34178, than apply into the LCM equation.

GCF(34170,34178) = 2
LCM(34170,34178) = ( 34170 × 34178) / 2
LCM(34170,34178) = 1167862260 / 2
LCM(34170,34178) = 583931130

Least Common Multiple (LCM) of 34170 and 34178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34170 and 34178. First we will calculate the prime factors of 34170 and 34178.

Prime Factorization of 34170

Prime Factorization of 34178

Now multiplying the highest exponent prime factors to calculate the LCM of 34170 and 34178.

LCM(34170,34178) = 2¹ × 3¹ × 5¹ × 17¹ × 67¹ × 23¹ × 743¹
LCM(34170,34178) = 583931130