What is the Least Common Multiple of 99803 and 99823?

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 99803 and 99823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99803 and 99823, than apply into the LCM equation.

GCF(99803,99823) = 1
LCM(99803,99823) = ( 99803 × 99823) / 1
LCM(99803,99823) = 9962634869 / 1
LCM(99803,99823) = 9962634869

Least Common Multiple (LCM) of 99803 and 99823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99803 and 99823. First we will calculate the prime factors of 99803 and 99823.

Prime Factorization of 99803

Prime Factorization of 99823

Now multiplying the highest exponent prime factors to calculate the LCM of 99803 and 99823.

LCM(99803,99823) = 11¹ × 43¹ × 211¹ × 99823¹
LCM(99803,99823) = 9962634869