What is the Least Common Multiple of 17008 and 17014?

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 17008 and 17014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17008 and 17014, than apply into the LCM equation.

GCF(17008,17014) = 2
LCM(17008,17014) = ( 17008 × 17014) / 2
LCM(17008,17014) = 289374112 / 2
LCM(17008,17014) = 144687056

Least Common Multiple (LCM) of 17008 and 17014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17008 and 17014. First we will calculate the prime factors of 17008 and 17014.

Prime Factorization of 17008

Prime Factorization of 17014

Now multiplying the highest exponent prime factors to calculate the LCM of 17008 and 17014.

LCM(17008,17014) = 2⁴ × 1063¹ × 47¹ × 181¹
LCM(17008,17014) = 144687056