What is the Least Common Multiple of 41743 and 41759?

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 41743 and 41759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41743 and 41759, than apply into the LCM equation.

GCF(41743,41759) = 1
LCM(41743,41759) = ( 41743 × 41759) / 1
LCM(41743,41759) = 1743145937 / 1
LCM(41743,41759) = 1743145937

Least Common Multiple (LCM) of 41743 and 41759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41743 and 41759. First we will calculate the prime factors of 41743 and 41759.

Prime Factorization of 41743

Prime Factorization of 41759

Now multiplying the highest exponent prime factors to calculate the LCM of 41743 and 41759.

LCM(41743,41759) = 13³ × 19¹ × 41759¹
LCM(41743,41759) = 1743145937