What is the Least Common Multiple of 33324 and 33344?

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 33324 and 33344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33324 and 33344, than apply into the LCM equation.

GCF(33324,33344) = 4
LCM(33324,33344) = ( 33324 × 33344) / 4
LCM(33324,33344) = 1111155456 / 4
LCM(33324,33344) = 277788864

Least Common Multiple (LCM) of 33324 and 33344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33324 and 33344. First we will calculate the prime factors of 33324 and 33344.

Prime Factorization of 33324

Prime Factorization of 33344

Now multiplying the highest exponent prime factors to calculate the LCM of 33324 and 33344.

LCM(33324,33344) = 2⁶ × 3¹ × 2777¹ × 521¹
LCM(33324,33344) = 277788864