What is the Least Common Multiple of 47883 and 47891?

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 47883 and 47891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47883 and 47891, than apply into the LCM equation.

GCF(47883,47891) = 1
LCM(47883,47891) = ( 47883 × 47891) / 1
LCM(47883,47891) = 2293164753 / 1
LCM(47883,47891) = 2293164753

Least Common Multiple (LCM) of 47883 and 47891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47883 and 47891. First we will calculate the prime factors of 47883 and 47891.

Prime Factorization of 47883

Prime Factorization of 47891

Now multiplying the highest exponent prime factors to calculate the LCM of 47883 and 47891.

LCM(47883,47891) = 3¹ × 11¹ × 1451¹ × 83¹ × 577¹
LCM(47883,47891) = 2293164753