What is the Least Common Multiple of 99876 and 99889?

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 99889 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 99889, than apply into the LCM equation.

GCF(99876,99889) = 1
LCM(99876,99889) = ( 99876 × 99889) / 1
LCM(99876,99889) = 9976513764 / 1
LCM(99876,99889) = 9976513764

Least Common Multiple (LCM) of 99876 and 99889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99876 and 99889. First we will calculate the prime factors of 99876 and 99889.

Prime Factorization of 99876

Prime Factorization of 99889

Now multiplying the highest exponent prime factors to calculate the LCM of 99876 and 99889.

LCM(99876,99889) = 2² × 3¹ × 7¹ × 29¹ × 41¹ × 23¹ × 43¹ × 101¹
LCM(99876,99889) = 9976513764