What is the Least Common Multiple of 17158 and 17168?

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 17158 and 17168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17158 and 17168, than apply into the LCM equation.

GCF(17158,17168) = 2
LCM(17158,17168) = ( 17158 × 17168) / 2
LCM(17158,17168) = 294568544 / 2
LCM(17158,17168) = 147284272

Least Common Multiple (LCM) of 17158 and 17168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17158 and 17168. First we will calculate the prime factors of 17158 and 17168.

Prime Factorization of 17158

Prime Factorization of 17168

Now multiplying the highest exponent prime factors to calculate the LCM of 17158 and 17168.

LCM(17158,17168) = 2⁴ × 23¹ × 373¹ × 29¹ × 37¹
LCM(17158,17168) = 147284272