What is the Least Common Multiple of 47331 and 47343?

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 47331 and 47343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47331 and 47343, than apply into the LCM equation.

GCF(47331,47343) = 3
LCM(47331,47343) = ( 47331 × 47343) / 3
LCM(47331,47343) = 2240791533 / 3
LCM(47331,47343) = 746930511

Least Common Multiple (LCM) of 47331 and 47343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47331 and 47343. First we will calculate the prime factors of 47331 and 47343.

Prime Factorization of 47331

Prime Factorization of 47343

Now multiplying the highest exponent prime factors to calculate the LCM of 47331 and 47343.

LCM(47331,47343) = 3³ × 1753¹ × 43¹ × 367¹
LCM(47331,47343) = 746930511