What is the Least Common Multiple of 16014 and 16031?

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 16014 and 16031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16014 and 16031, than apply into the LCM equation.

GCF(16014,16031) = 17
LCM(16014,16031) = ( 16014 × 16031) / 17
LCM(16014,16031) = 256720434 / 17
LCM(16014,16031) = 15101202

Least Common Multiple (LCM) of 16014 and 16031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16014 and 16031. First we will calculate the prime factors of 16014 and 16031.

Prime Factorization of 16014

Prime Factorization of 16031

Now multiplying the highest exponent prime factors to calculate the LCM of 16014 and 16031.

LCM(16014,16031) = 2¹ × 3¹ × 17¹ × 157¹ × 23¹ × 41¹
LCM(16014,16031) = 15101202