What is the Least Common Multiple of 99324 and 99342?

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 99324 and 99342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99324 and 99342, than apply into the LCM equation.

GCF(99324,99342) = 18
LCM(99324,99342) = ( 99324 × 99342) / 18
LCM(99324,99342) = 9867044808 / 18
LCM(99324,99342) = 548169156

Least Common Multiple (LCM) of 99324 and 99342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99324 and 99342. First we will calculate the prime factors of 99324 and 99342.

Prime Factorization of 99324

Prime Factorization of 99342

Now multiplying the highest exponent prime factors to calculate the LCM of 99324 and 99342.

LCM(99324,99342) = 2² × 3² × 31¹ × 89¹ × 5519¹
LCM(99324,99342) = 548169156