What is the Least Common Multiple of 99793 and 99803?

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 99793 and 99803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99793 and 99803, than apply into the LCM equation.

GCF(99793,99803) = 1
LCM(99793,99803) = ( 99793 × 99803) / 1
LCM(99793,99803) = 9959640779 / 1
LCM(99793,99803) = 9959640779

Least Common Multiple (LCM) of 99793 and 99803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99793 and 99803. First we will calculate the prime factors of 99793 and 99803.

Prime Factorization of 99793

Prime Factorization of 99803

Now multiplying the highest exponent prime factors to calculate the LCM of 99793 and 99803.

LCM(99793,99803) = 99793¹ × 11¹ × 43¹ × 211¹
LCM(99793,99803) = 9959640779