What is the Least Common Multiple of 33396 and 33404?

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 33396 and 33404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33396 and 33404, than apply into the LCM equation.

GCF(33396,33404) = 4
LCM(33396,33404) = ( 33396 × 33404) / 4
LCM(33396,33404) = 1115559984 / 4
LCM(33396,33404) = 278889996

Least Common Multiple (LCM) of 33396 and 33404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33396 and 33404. First we will calculate the prime factors of 33396 and 33404.

Prime Factorization of 33396

Prime Factorization of 33404

Now multiplying the highest exponent prime factors to calculate the LCM of 33396 and 33404.

LCM(33396,33404) = 2² × 3¹ × 11² × 23¹ × 7¹ × 1193¹
LCM(33396,33404) = 278889996