What is the Least Common Multiple of 47019 and 47031?

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 47031 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 47031, than apply into the LCM equation.

GCF(47019,47031) = 3
LCM(47019,47031) = ( 47019 × 47031) / 3
LCM(47019,47031) = 2211350589 / 3
LCM(47019,47031) = 737116863

Least Common Multiple (LCM) of 47019 and 47031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47019 and 47031. First we will calculate the prime factors of 47019 and 47031.

Prime Factorization of 47019

Prime Factorization of 47031

Now multiplying the highest exponent prime factors to calculate the LCM of 47019 and 47031.

LCM(47019,47031) = 3¹ × 7¹ × 2239¹ × 61¹ × 257¹
LCM(47019,47031) = 737116863