What is the Least Common Multiple of 47014 and 47029?

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 47014 and 47029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47014 and 47029, than apply into the LCM equation.

GCF(47014,47029) = 1
LCM(47014,47029) = ( 47014 × 47029) / 1
LCM(47014,47029) = 2211021406 / 1
LCM(47014,47029) = 2211021406

Least Common Multiple (LCM) of 47014 and 47029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47014 and 47029. First we will calculate the prime factors of 47014 and 47029.

Prime Factorization of 47014

Prime Factorization of 47029

Now multiplying the highest exponent prime factors to calculate the LCM of 47014 and 47029.

LCM(47014,47029) = 2¹ × 11¹ × 2137¹ × 131¹ × 359¹
LCM(47014,47029) = 2211021406