What is the Least Common Multiple of 4023 and 4039?

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 4023 and 4039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4023 and 4039, than apply into the LCM equation.

GCF(4023,4039) = 1
LCM(4023,4039) = ( 4023 × 4039) / 1
LCM(4023,4039) = 16248897 / 1
LCM(4023,4039) = 16248897

Least Common Multiple (LCM) of 4023 and 4039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4023 and 4039. First we will calculate the prime factors of 4023 and 4039.

Prime Factorization of 4023

Prime Factorization of 4039

Now multiplying the highest exponent prime factors to calculate the LCM of 4023 and 4039.

LCM(4023,4039) = 3³ × 149¹ × 7¹ × 577¹
LCM(4023,4039) = 16248897