What is the Least Common Multiple of 16017 and 16036?

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 16017 and 16036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16017 and 16036, than apply into the LCM equation.

GCF(16017,16036) = 19
LCM(16017,16036) = ( 16017 × 16036) / 19
LCM(16017,16036) = 256848612 / 19
LCM(16017,16036) = 13518348

Least Common Multiple (LCM) of 16017 and 16036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16017 and 16036. First we will calculate the prime factors of 16017 and 16036.

Prime Factorization of 16017

Prime Factorization of 16036

Now multiplying the highest exponent prime factors to calculate the LCM of 16017 and 16036.

LCM(16017,16036) = 3¹ × 19¹ × 281¹ × 2² × 211¹
LCM(16017,16036) = 13518348