What is the Least Common Multiple of 47271 and 47289?

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 47271 and 47289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47271 and 47289, than apply into the LCM equation.

GCF(47271,47289) = 3
LCM(47271,47289) = ( 47271 × 47289) / 3
LCM(47271,47289) = 2235398319 / 3
LCM(47271,47289) = 745132773

Least Common Multiple (LCM) of 47271 and 47289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47271 and 47289. First we will calculate the prime factors of 47271 and 47289.

Prime Factorization of 47271

Prime Factorization of 47289

Now multiplying the highest exponent prime factors to calculate the LCM of 47271 and 47289.

LCM(47271,47289) = 3¹ × 7¹ × 2251¹ × 11¹ × 1433¹
LCM(47271,47289) = 745132773