What is the Least Common Multiple of 47441 and 47459?

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 47441 and 47459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47441 and 47459, than apply into the LCM equation.

GCF(47441,47459) = 1
LCM(47441,47459) = ( 47441 × 47459) / 1
LCM(47441,47459) = 2251502419 / 1
LCM(47441,47459) = 2251502419

Least Common Multiple (LCM) of 47441 and 47459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47441 and 47459. First we will calculate the prime factors of 47441 and 47459.

Prime Factorization of 47441

Prime Factorization of 47459

Now multiplying the highest exponent prime factors to calculate the LCM of 47441 and 47459.

LCM(47441,47459) = 47441¹ × 47459¹
LCM(47441,47459) = 2251502419