What is the Least Common Multiple of 33384 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 33384 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 33384 and 33404, than apply into the LCM equation.

GCF(33384,33404) = 4
LCM(33384,33404) = ( 33384 × 33404) / 4
LCM(33384,33404) = 1115159136 / 4
LCM(33384,33404) = 278789784

Least Common Multiple (LCM) of 33384 and 33404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33384 and 33404. First we will calculate the prime factors of 33384 and 33404.

Prime Factorization of 33384

Prime Factorization of 33404

Now multiplying the highest exponent prime factors to calculate the LCM of 33384 and 33404.

LCM(33384,33404) = 2³ × 3¹ × 13¹ × 107¹ × 7¹ × 1193¹
LCM(33384,33404) = 278789784