What is the Least Common Multiple of 67023 and 67039?

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 67023 and 67039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67023 and 67039, than apply into the LCM equation.

GCF(67023,67039) = 1
LCM(67023,67039) = ( 67023 × 67039) / 1
LCM(67023,67039) = 4493154897 / 1
LCM(67023,67039) = 4493154897

Least Common Multiple (LCM) of 67023 and 67039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67023 and 67039. First we will calculate the prime factors of 67023 and 67039.

Prime Factorization of 67023

Prime Factorization of 67039

Now multiplying the highest exponent prime factors to calculate the LCM of 67023 and 67039.

LCM(67023,67039) = 3² × 11¹ × 677¹ × 7¹ × 61¹ × 157¹
LCM(67023,67039) = 4493154897