What is the Least Common Multiple of 15486 and 15501?

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 15486 and 15501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15486 and 15501, than apply into the LCM equation.

GCF(15486,15501) = 3
LCM(15486,15501) = ( 15486 × 15501) / 3
LCM(15486,15501) = 240048486 / 3
LCM(15486,15501) = 80016162

Least Common Multiple (LCM) of 15486 and 15501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15486 and 15501. First we will calculate the prime factors of 15486 and 15501.

Prime Factorization of 15486

Prime Factorization of 15501

Now multiplying the highest exponent prime factors to calculate the LCM of 15486 and 15501.

LCM(15486,15501) = 2¹ × 3¹ × 29¹ × 89¹ × 5167¹
LCM(15486,15501) = 80016162