What is the Least Common Multiple of 47479 and 47491?

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 47479 and 47491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47479 and 47491, than apply into the LCM equation.

GCF(47479,47491) = 1
LCM(47479,47491) = ( 47479 × 47491) / 1
LCM(47479,47491) = 2254825189 / 1
LCM(47479,47491) = 2254825189

Least Common Multiple (LCM) of 47479 and 47491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47479 and 47491. First we will calculate the prime factors of 47479 and 47491.

Prime Factorization of 47479

Prime Factorization of 47491

Now multiplying the highest exponent prime factors to calculate the LCM of 47479 and 47491.

LCM(47479,47491) = 79¹ × 601¹ × 47491¹
LCM(47479,47491) = 2254825189