What is the Least Common Multiple of 99000 and 99018?

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 99000 and 99018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99000 and 99018, than apply into the LCM equation.

GCF(99000,99018) = 18
LCM(99000,99018) = ( 99000 × 99018) / 18
LCM(99000,99018) = 9802782000 / 18
LCM(99000,99018) = 544599000

Least Common Multiple (LCM) of 99000 and 99018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99000 and 99018. First we will calculate the prime factors of 99000 and 99018.

Prime Factorization of 99000

Prime Factorization of 99018

Now multiplying the highest exponent prime factors to calculate the LCM of 99000 and 99018.

LCM(99000,99018) = 2³ × 3² × 5³ × 11¹ × 5501¹
LCM(99000,99018) = 544599000