What is the Least Common Multiple of 99480 and 99500?

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 99480 and 99500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99480 and 99500, than apply into the LCM equation.

GCF(99480,99500) = 20
LCM(99480,99500) = ( 99480 × 99500) / 20
LCM(99480,99500) = 9898260000 / 20
LCM(99480,99500) = 494913000

Least Common Multiple (LCM) of 99480 and 99500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99480 and 99500. First we will calculate the prime factors of 99480 and 99500.

Prime Factorization of 99480

Prime Factorization of 99500

Now multiplying the highest exponent prime factors to calculate the LCM of 99480 and 99500.

LCM(99480,99500) = 2³ × 3¹ × 5³ × 829¹ × 199¹
LCM(99480,99500) = 494913000