What is the Least Common Multiple of 83793 and 83799?

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 83799 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 83799, than apply into the LCM equation.

GCF(83793,83799) = 3
LCM(83793,83799) = ( 83793 × 83799) / 3
LCM(83793,83799) = 7021769607 / 3
LCM(83793,83799) = 2340589869

Least Common Multiple (LCM) of 83793 and 83799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83793 and 83799. First we will calculate the prime factors of 83793 and 83799.

Prime Factorization of 83793

Prime Factorization of 83799

Now multiplying the highest exponent prime factors to calculate the LCM of 83793 and 83799.

LCM(83793,83799) = 3² × 17¹ × 31¹ × 53¹ × 9311¹
LCM(83793,83799) = 2340589869