What is the Least Common Multiple of 99888 and 99908?

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 99888 and 99908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99888 and 99908, than apply into the LCM equation.

GCF(99888,99908) = 4
LCM(99888,99908) = ( 99888 × 99908) / 4
LCM(99888,99908) = 9979610304 / 4
LCM(99888,99908) = 2494902576

Least Common Multiple (LCM) of 99888 and 99908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99888 and 99908. First we will calculate the prime factors of 99888 and 99908.

Prime Factorization of 99888

Prime Factorization of 99908

Now multiplying the highest exponent prime factors to calculate the LCM of 99888 and 99908.

LCM(99888,99908) = 2⁴ × 3¹ × 2081¹ × 24977¹
LCM(99888,99908) = 2494902576