What is the Least Common Multiple of 99864 and 99877?

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 99864 and 99877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99864 and 99877, than apply into the LCM equation.

GCF(99864,99877) = 1
LCM(99864,99877) = ( 99864 × 99877) / 1
LCM(99864,99877) = 9974116728 / 1
LCM(99864,99877) = 9974116728

Least Common Multiple (LCM) of 99864 and 99877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99864 and 99877. First we will calculate the prime factors of 99864 and 99877.

Prime Factorization of 99864

Prime Factorization of 99877

Now multiplying the highest exponent prime factors to calculate the LCM of 99864 and 99877.

LCM(99864,99877) = 2³ × 3² × 19¹ × 73¹ × 99877¹
LCM(99864,99877) = 9974116728