What is the Least Common Multiple of 99876 and 99896?

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 99896 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 99896, than apply into the LCM equation.

GCF(99876,99896) = 4
LCM(99876,99896) = ( 99876 × 99896) / 4
LCM(99876,99896) = 9977212896 / 4
LCM(99876,99896) = 2494303224

Least Common Multiple (LCM) of 99876 and 99896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99876 and 99896. First we will calculate the prime factors of 99876 and 99896.

Prime Factorization of 99876

Prime Factorization of 99896

Now multiplying the highest exponent prime factors to calculate the LCM of 99876 and 99896.

LCM(99876,99896) = 2³ × 3¹ × 7¹ × 29¹ × 41¹ × 12487¹
LCM(99876,99896) = 2494303224