What is the Least Common Multiple of 47000 and 47014?

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 47000 and 47014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47000 and 47014, than apply into the LCM equation.

GCF(47000,47014) = 2
LCM(47000,47014) = ( 47000 × 47014) / 2
LCM(47000,47014) = 2209658000 / 2
LCM(47000,47014) = 1104829000

Least Common Multiple (LCM) of 47000 and 47014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47000 and 47014. First we will calculate the prime factors of 47000 and 47014.

Prime Factorization of 47000

Prime Factorization of 47014

Now multiplying the highest exponent prime factors to calculate the LCM of 47000 and 47014.

LCM(47000,47014) = 2³ × 5³ × 47¹ × 11¹ × 2137¹
LCM(47000,47014) = 1104829000