What is the Least Common Multiple of 5000 and 5013?

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 5000 and 5013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5000 and 5013, than apply into the LCM equation.

GCF(5000,5013) = 1
LCM(5000,5013) = ( 5000 × 5013) / 1
LCM(5000,5013) = 25065000 / 1
LCM(5000,5013) = 25065000

Least Common Multiple (LCM) of 5000 and 5013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5000 and 5013. First we will calculate the prime factors of 5000 and 5013.

Prime Factorization of 5000

Prime Factorization of 5013

Now multiplying the highest exponent prime factors to calculate the LCM of 5000 and 5013.

LCM(5000,5013) = 2³ × 5⁴ × 3² × 557¹
LCM(5000,5013) = 25065000