What is the Least Common Multiple of 16003 and 16022?

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 16003 and 16022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16003 and 16022, than apply into the LCM equation.

GCF(16003,16022) = 1
LCM(16003,16022) = ( 16003 × 16022) / 1
LCM(16003,16022) = 256400066 / 1
LCM(16003,16022) = 256400066

Least Common Multiple (LCM) of 16003 and 16022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16003 and 16022. First we will calculate the prime factors of 16003 and 16022.

Prime Factorization of 16003

Prime Factorization of 16022

Now multiplying the highest exponent prime factors to calculate the LCM of 16003 and 16022.

LCM(16003,16022) = 13¹ × 1231¹ × 2¹ × 8011¹
LCM(16003,16022) = 256400066