What is the Least Common Multiple of 4023 and 4043?

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 4043 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 4043, than apply into the LCM equation.

GCF(4023,4043) = 1
LCM(4023,4043) = ( 4023 × 4043) / 1
LCM(4023,4043) = 16264989 / 1
LCM(4023,4043) = 16264989

Least Common Multiple (LCM) of 4023 and 4043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4023 and 4043. First we will calculate the prime factors of 4023 and 4043.

Prime Factorization of 4023

Prime Factorization of 4043

Now multiplying the highest exponent prime factors to calculate the LCM of 4023 and 4043.

LCM(4023,4043) = 3³ × 149¹ × 13¹ × 311¹
LCM(4023,4043) = 16264989