What is the Least Common Multiple of 39021 and 39039?

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 39021 and 39039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39021 and 39039, than apply into the LCM equation.

GCF(39021,39039) = 3
LCM(39021,39039) = ( 39021 × 39039) / 3
LCM(39021,39039) = 1523340819 / 3
LCM(39021,39039) = 507780273

Least Common Multiple (LCM) of 39021 and 39039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39021 and 39039. First we will calculate the prime factors of 39021 and 39039.

Prime Factorization of 39021

Prime Factorization of 39039

Now multiplying the highest exponent prime factors to calculate the LCM of 39021 and 39039.

LCM(39021,39039) = 3¹ × 13007¹ × 7¹ × 11¹ × 13²
LCM(39021,39039) = 507780273