What is the Least Common Multiple of 99342 and 99360?

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 99342 and 99360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99342 and 99360, than apply into the LCM equation.

GCF(99342,99360) = 18
LCM(99342,99360) = ( 99342 × 99360) / 18
LCM(99342,99360) = 9870621120 / 18
LCM(99342,99360) = 548367840

Least Common Multiple (LCM) of 99342 and 99360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99342 and 99360. First we will calculate the prime factors of 99342 and 99360.

Prime Factorization of 99342

Prime Factorization of 99360

Now multiplying the highest exponent prime factors to calculate the LCM of 99342 and 99360.

LCM(99342,99360) = 2⁵ × 3³ × 5519¹ × 5¹ × 23¹
LCM(99342,99360) = 548367840