What is the Least Common Multiple of 15000 and 15005?

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 15000 and 15005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15000 and 15005, than apply into the LCM equation.

GCF(15000,15005) = 5
LCM(15000,15005) = ( 15000 × 15005) / 5
LCM(15000,15005) = 225075000 / 5
LCM(15000,15005) = 45015000

Least Common Multiple (LCM) of 15000 and 15005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15000 and 15005. First we will calculate the prime factors of 15000 and 15005.

Prime Factorization of 15000

Prime Factorization of 15005

Now multiplying the highest exponent prime factors to calculate the LCM of 15000 and 15005.

LCM(15000,15005) = 2³ × 3¹ × 5⁴ × 3001¹
LCM(15000,15005) = 45015000