What is the Least Common Multiple of 99876 and 99893?

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 99876 and 99893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99876 and 99893, than apply into the LCM equation.

GCF(99876,99893) = 1
LCM(99876,99893) = ( 99876 × 99893) / 1
LCM(99876,99893) = 9976913268 / 1
LCM(99876,99893) = 9976913268

Least Common Multiple (LCM) of 99876 and 99893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99876 and 99893. First we will calculate the prime factors of 99876 and 99893.

Prime Factorization of 99876

Prime Factorization of 99893

Now multiplying the highest exponent prime factors to calculate the LCM of 99876 and 99893.

LCM(99876,99893) = 2² × 3¹ × 7¹ × 29¹ × 41¹ × 191¹ × 523¹
LCM(99876,99893) = 9976913268