What is the Least Common Multiple of 34126 and 34136?

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 34126 and 34136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34126 and 34136, than apply into the LCM equation.

GCF(34126,34136) = 2
LCM(34126,34136) = ( 34126 × 34136) / 2
LCM(34126,34136) = 1164925136 / 2
LCM(34126,34136) = 582462568

Least Common Multiple (LCM) of 34126 and 34136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34126 and 34136. First we will calculate the prime factors of 34126 and 34136.

Prime Factorization of 34126

Prime Factorization of 34136

Now multiplying the highest exponent prime factors to calculate the LCM of 34126 and 34136.

LCM(34126,34136) = 2³ × 113¹ × 151¹ × 17¹ × 251¹
LCM(34126,34136) = 582462568