What is the Least Common Multiple of 41428 and 41441?

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 41428 and 41441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41428 and 41441, than apply into the LCM equation.

GCF(41428,41441) = 1
LCM(41428,41441) = ( 41428 × 41441) / 1
LCM(41428,41441) = 1716817748 / 1
LCM(41428,41441) = 1716817748

Least Common Multiple (LCM) of 41428 and 41441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41428 and 41441. First we will calculate the prime factors of 41428 and 41441.

Prime Factorization of 41428

Prime Factorization of 41441

Now multiplying the highest exponent prime factors to calculate the LCM of 41428 and 41441.

LCM(41428,41441) = 2² × 10357¹ × 29¹ × 1429¹
LCM(41428,41441) = 1716817748