What is the Least Common Multiple of 47425 and 47441?

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 47425 and 47441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47425 and 47441, than apply into the LCM equation.

GCF(47425,47441) = 1
LCM(47425,47441) = ( 47425 × 47441) / 1
LCM(47425,47441) = 2249889425 / 1
LCM(47425,47441) = 2249889425

Least Common Multiple (LCM) of 47425 and 47441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47425 and 47441. First we will calculate the prime factors of 47425 and 47441.

Prime Factorization of 47425

Prime Factorization of 47441

Now multiplying the highest exponent prime factors to calculate the LCM of 47425 and 47441.

LCM(47425,47441) = 5² × 7¹ × 271¹ × 47441¹
LCM(47425,47441) = 2249889425