What is the Least Common Multiple of 47019 and 47027?

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 47019 and 47027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47019 and 47027, than apply into the LCM equation.

GCF(47019,47027) = 1
LCM(47019,47027) = ( 47019 × 47027) / 1
LCM(47019,47027) = 2211162513 / 1
LCM(47019,47027) = 2211162513

Least Common Multiple (LCM) of 47019 and 47027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47019 and 47027. First we will calculate the prime factors of 47019 and 47027.

Prime Factorization of 47019

Prime Factorization of 47027

Now multiplying the highest exponent prime factors to calculate the LCM of 47019 and 47027.

LCM(47019,47027) = 3¹ × 7¹ × 2239¹ × 31¹ × 37¹ × 41¹
LCM(47019,47027) = 2211162513