What is the Least Common Multiple of 99888 and 99898?

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 99898 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 99898, than apply into the LCM equation.

GCF(99888,99898) = 2
LCM(99888,99898) = ( 99888 × 99898) / 2
LCM(99888,99898) = 9978611424 / 2
LCM(99888,99898) = 4989305712

Least Common Multiple (LCM) of 99888 and 99898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99888 and 99898. First we will calculate the prime factors of 99888 and 99898.

Prime Factorization of 99888

Prime Factorization of 99898

Now multiplying the highest exponent prime factors to calculate the LCM of 99888 and 99898.

LCM(99888,99898) = 2⁴ × 3¹ × 2081¹ × 199¹ × 251¹
LCM(99888,99898) = 4989305712