What is the Least Common Multiple of 83793 and 83809?

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 83793 and 83809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83793 and 83809, than apply into the LCM equation.

GCF(83793,83809) = 1
LCM(83793,83809) = ( 83793 × 83809) / 1
LCM(83793,83809) = 7022607537 / 1
LCM(83793,83809) = 7022607537

Least Common Multiple (LCM) of 83793 and 83809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83793 and 83809. First we will calculate the prime factors of 83793 and 83809.

Prime Factorization of 83793

Prime Factorization of 83809

Now multiplying the highest exponent prime factors to calculate the LCM of 83793 and 83809.

LCM(83793,83809) = 3¹ × 17¹ × 31¹ × 53¹ × 11¹ × 19¹ × 401¹
LCM(83793,83809) = 7022607537