What is the Least Common Multiple of 41809 and 41829?

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 41809 and 41829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41809 and 41829, than apply into the LCM equation.

GCF(41809,41829) = 1
LCM(41809,41829) = ( 41809 × 41829) / 1
LCM(41809,41829) = 1748828661 / 1
LCM(41809,41829) = 1748828661

Least Common Multiple (LCM) of 41809 and 41829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41809 and 41829. First we will calculate the prime factors of 41809 and 41829.

Prime Factorization of 41809

Prime Factorization of 41829

Now multiplying the highest exponent prime factors to calculate the LCM of 41809 and 41829.

LCM(41809,41829) = 41809¹ × 3¹ × 73¹ × 191¹
LCM(41809,41829) = 1748828661