What is the Least Common Multiple of 99342 and 99347?

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 99347 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 99347, than apply into the LCM equation.

GCF(99342,99347) = 1
LCM(99342,99347) = ( 99342 × 99347) / 1
LCM(99342,99347) = 9869329674 / 1
LCM(99342,99347) = 9869329674

Least Common Multiple (LCM) of 99342 and 99347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99342 and 99347. First we will calculate the prime factors of 99342 and 99347.

Prime Factorization of 99342

Prime Factorization of 99347

Now multiplying the highest exponent prime factors to calculate the LCM of 99342 and 99347.

LCM(99342,99347) = 2¹ × 3² × 5519¹ × 99347¹
LCM(99342,99347) = 9869329674