What is the Least Common Multiple of 34117 and 34134?

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 34117 and 34134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34117 and 34134, than apply into the LCM equation.

GCF(34117,34134) = 1
LCM(34117,34134) = ( 34117 × 34134) / 1
LCM(34117,34134) = 1164549678 / 1
LCM(34117,34134) = 1164549678

Least Common Multiple (LCM) of 34117 and 34134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34117 and 34134. First we will calculate the prime factors of 34117 and 34134.

Prime Factorization of 34117

Prime Factorization of 34134

Now multiplying the highest exponent prime factors to calculate the LCM of 34117 and 34134.

LCM(34117,34134) = 109¹ × 313¹ × 2¹ × 3¹ × 5689¹
LCM(34117,34134) = 1164549678