What is the Least Common Multiple of 16008 and 16017?

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 16008 and 16017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16008 and 16017, than apply into the LCM equation.

GCF(16008,16017) = 3
LCM(16008,16017) = ( 16008 × 16017) / 3
LCM(16008,16017) = 256400136 / 3
LCM(16008,16017) = 85466712

Least Common Multiple (LCM) of 16008 and 16017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16008 and 16017. First we will calculate the prime factors of 16008 and 16017.

Prime Factorization of 16008

Prime Factorization of 16017

Now multiplying the highest exponent prime factors to calculate the LCM of 16008 and 16017.

LCM(16008,16017) = 2³ × 3¹ × 23¹ × 29¹ × 19¹ × 281¹
LCM(16008,16017) = 85466712