What is the Least Common Multiple of 99342 and 99352?

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 99352 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 99352, than apply into the LCM equation.

GCF(99342,99352) = 2
LCM(99342,99352) = ( 99342 × 99352) / 2
LCM(99342,99352) = 9869826384 / 2
LCM(99342,99352) = 4934913192

Least Common Multiple (LCM) of 99342 and 99352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99342 and 99352. First we will calculate the prime factors of 99342 and 99352.

Prime Factorization of 99342

Prime Factorization of 99352

Now multiplying the highest exponent prime factors to calculate the LCM of 99342 and 99352.

LCM(99342,99352) = 2³ × 3² × 5519¹ × 11¹ × 1129¹
LCM(99342,99352) = 4934913192