What is the Least Common Multiple of 41441 and 41448?

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 41441 and 41448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41441 and 41448, than apply into the LCM equation.

GCF(41441,41448) = 1
LCM(41441,41448) = ( 41441 × 41448) / 1
LCM(41441,41448) = 1717646568 / 1
LCM(41441,41448) = 1717646568

Least Common Multiple (LCM) of 41441 and 41448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41441 and 41448. First we will calculate the prime factors of 41441 and 41448.

Prime Factorization of 41441

Prime Factorization of 41448

Now multiplying the highest exponent prime factors to calculate the LCM of 41441 and 41448.

LCM(41441,41448) = 29¹ × 1429¹ × 2³ × 3¹ × 11¹ × 157¹
LCM(41441,41448) = 1717646568