What is the Least Common Multiple of 15034 and 15039?

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 15034 and 15039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15034 and 15039, than apply into the LCM equation.

GCF(15034,15039) = 1
LCM(15034,15039) = ( 15034 × 15039) / 1
LCM(15034,15039) = 226096326 / 1
LCM(15034,15039) = 226096326

Least Common Multiple (LCM) of 15034 and 15039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15034 and 15039. First we will calculate the prime factors of 15034 and 15039.

Prime Factorization of 15034

Prime Factorization of 15039

Now multiplying the highest exponent prime factors to calculate the LCM of 15034 and 15039.

LCM(15034,15039) = 2¹ × 7517¹ × 3³ × 557¹
LCM(15034,15039) = 226096326