What is the Least Common Multiple of 99867 and 99882?

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 99867 and 99882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99867 and 99882, than apply into the LCM equation.

GCF(99867,99882) = 3
LCM(99867,99882) = ( 99867 × 99882) / 3
LCM(99867,99882) = 9974915694 / 3
LCM(99867,99882) = 3324971898

Least Common Multiple (LCM) of 99867 and 99882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99867 and 99882. First we will calculate the prime factors of 99867 and 99882.

Prime Factorization of 99867

Prime Factorization of 99882

Now multiplying the highest exponent prime factors to calculate the LCM of 99867 and 99882.

LCM(99867,99882) = 3² × 33289¹ × 2¹ × 31¹ × 179¹
LCM(99867,99882) = 3324971898