What is the Least Common Multiple of 34150 and 34165?

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 34150 and 34165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34150 and 34165, than apply into the LCM equation.

GCF(34150,34165) = 5
LCM(34150,34165) = ( 34150 × 34165) / 5
LCM(34150,34165) = 1166734750 / 5
LCM(34150,34165) = 233346950

Least Common Multiple (LCM) of 34150 and 34165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34150 and 34165. First we will calculate the prime factors of 34150 and 34165.

Prime Factorization of 34150

Prime Factorization of 34165

Now multiplying the highest exponent prime factors to calculate the LCM of 34150 and 34165.

LCM(34150,34165) = 2¹ × 5² × 683¹ × 6833¹
LCM(34150,34165) = 233346950