What is the Least Common Multiple of 33304 and 33324?

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 33304 and 33324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33304 and 33324, than apply into the LCM equation.

GCF(33304,33324) = 4
LCM(33304,33324) = ( 33304 × 33324) / 4
LCM(33304,33324) = 1109822496 / 4
LCM(33304,33324) = 277455624

Least Common Multiple (LCM) of 33304 and 33324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33304 and 33324. First we will calculate the prime factors of 33304 and 33324.

Prime Factorization of 33304

Prime Factorization of 33324

Now multiplying the highest exponent prime factors to calculate the LCM of 33304 and 33324.

LCM(33304,33324) = 2³ × 23¹ × 181¹ × 3¹ × 2777¹
LCM(33304,33324) = 277455624