What is the Least Common Multiple of 17104 and 17114?

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 17104 and 17114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17104 and 17114, than apply into the LCM equation.

GCF(17104,17114) = 2
LCM(17104,17114) = ( 17104 × 17114) / 2
LCM(17104,17114) = 292717856 / 2
LCM(17104,17114) = 146358928

Least Common Multiple (LCM) of 17104 and 17114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17104 and 17114. First we will calculate the prime factors of 17104 and 17114.

Prime Factorization of 17104

Prime Factorization of 17114

Now multiplying the highest exponent prime factors to calculate the LCM of 17104 and 17114.

LCM(17104,17114) = 2⁴ × 1069¹ × 43¹ × 199¹
LCM(17104,17114) = 146358928