What is the Least Common Multiple of 41344 and 41359?

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 41344 and 41359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41344 and 41359, than apply into the LCM equation.

GCF(41344,41359) = 1
LCM(41344,41359) = ( 41344 × 41359) / 1
LCM(41344,41359) = 1709946496 / 1
LCM(41344,41359) = 1709946496

Least Common Multiple (LCM) of 41344 and 41359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41344 and 41359. First we will calculate the prime factors of 41344 and 41359.

Prime Factorization of 41344

Prime Factorization of 41359

Now multiplying the highest exponent prime factors to calculate the LCM of 41344 and 41359.

LCM(41344,41359) = 2⁷ × 17¹ × 19¹ × 59¹ × 701¹
LCM(41344,41359) = 1709946496