What is the Least Common Multiple of 83023 and 83043?

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 83023 and 83043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83023 and 83043, than apply into the LCM equation.

GCF(83023,83043) = 1
LCM(83023,83043) = ( 83023 × 83043) / 1
LCM(83023,83043) = 6894478989 / 1
LCM(83023,83043) = 6894478989

Least Common Multiple (LCM) of 83023 and 83043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83023 and 83043. First we will calculate the prime factors of 83023 and 83043.

Prime Factorization of 83023

Prime Factorization of 83043

Now multiplying the highest exponent prime factors to calculate the LCM of 83023 and 83043.

LCM(83023,83043) = 83023¹ × 3² × 9227¹
LCM(83023,83043) = 6894478989