What is the Least Common Multiple of 33384 and 33394?

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 33394 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 33394, than apply into the LCM equation.

GCF(33384,33394) = 2
LCM(33384,33394) = ( 33384 × 33394) / 2
LCM(33384,33394) = 1114825296 / 2
LCM(33384,33394) = 557412648

Least Common Multiple (LCM) of 33384 and 33394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33384 and 33394. First we will calculate the prime factors of 33384 and 33394.

Prime Factorization of 33384

Prime Factorization of 33394

Now multiplying the highest exponent prime factors to calculate the LCM of 33384 and 33394.

LCM(33384,33394) = 2³ × 3¹ × 13¹ × 107¹ × 59¹ × 283¹
LCM(33384,33394) = 557412648