What is the Least Common Multiple of 13023 and 13029?

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 13023 and 13029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13023 and 13029, than apply into the LCM equation.

GCF(13023,13029) = 3
LCM(13023,13029) = ( 13023 × 13029) / 3
LCM(13023,13029) = 169676667 / 3
LCM(13023,13029) = 56558889

Least Common Multiple (LCM) of 13023 and 13029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13023 and 13029. First we will calculate the prime factors of 13023 and 13029.

Prime Factorization of 13023

Prime Factorization of 13029

Now multiplying the highest exponent prime factors to calculate the LCM of 13023 and 13029.

LCM(13023,13029) = 3² × 1447¹ × 43¹ × 101¹
LCM(13023,13029) = 56558889