What is the Least Common Multiple of 34175 and 34179?

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 34179 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 34179, than apply into the LCM equation.

GCF(34175,34179) = 1
LCM(34175,34179) = ( 34175 × 34179) / 1
LCM(34175,34179) = 1168067325 / 1
LCM(34175,34179) = 1168067325

Least Common Multiple (LCM) of 34175 and 34179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34175 and 34179. First we will calculate the prime factors of 34175 and 34179.

Prime Factorization of 34175

Prime Factorization of 34179

Now multiplying the highest exponent prime factors to calculate the LCM of 34175 and 34179.

LCM(34175,34179) = 5² × 1367¹ × 3¹ × 11393¹
LCM(34175,34179) = 1168067325