What is the Least Common Multiple of 99823 and 99827?

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 99823 and 99827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99823 and 99827, than apply into the LCM equation.

GCF(99823,99827) = 1
LCM(99823,99827) = ( 99823 × 99827) / 1
LCM(99823,99827) = 9965030621 / 1
LCM(99823,99827) = 9965030621

Least Common Multiple (LCM) of 99823 and 99827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99823 and 99827. First we will calculate the prime factors of 99823 and 99827.

Prime Factorization of 99823

Prime Factorization of 99827

Now multiplying the highest exponent prime factors to calculate the LCM of 99823 and 99827.

LCM(99823,99827) = 99823¹ × 7¹ × 13¹ × 1097¹
LCM(99823,99827) = 9965030621