What is the Least Common Multiple of 34175 and 34180?

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 34175 and 34180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34175 and 34180, than apply into the LCM equation.

GCF(34175,34180) = 5
LCM(34175,34180) = ( 34175 × 34180) / 5
LCM(34175,34180) = 1168101500 / 5
LCM(34175,34180) = 233620300

Least Common Multiple (LCM) of 34175 and 34180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34175 and 34180. First we will calculate the prime factors of 34175 and 34180.

Prime Factorization of 34175

Prime Factorization of 34180

Now multiplying the highest exponent prime factors to calculate the LCM of 34175 and 34180.

LCM(34175,34180) = 5² × 1367¹ × 2² × 1709¹
LCM(34175,34180) = 233620300