What is the Least Common Multiple of 99342 and 99356?

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 99356 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 99356, than apply into the LCM equation.

GCF(99342,99356) = 2
LCM(99342,99356) = ( 99342 × 99356) / 2
LCM(99342,99356) = 9870223752 / 2
LCM(99342,99356) = 4935111876

Least Common Multiple (LCM) of 99342 and 99356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99342 and 99356. First we will calculate the prime factors of 99342 and 99356.

Prime Factorization of 99342

Prime Factorization of 99356

Now multiplying the highest exponent prime factors to calculate the LCM of 99342 and 99356.

LCM(99342,99356) = 2² × 3² × 5519¹ × 59¹ × 421¹
LCM(99342,99356) = 4935111876