What is the Least Common Multiple of 33344 and 33356?

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 33344 and 33356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33344 and 33356, than apply into the LCM equation.

GCF(33344,33356) = 4
LCM(33344,33356) = ( 33344 × 33356) / 4
LCM(33344,33356) = 1112222464 / 4
LCM(33344,33356) = 278055616

Least Common Multiple (LCM) of 33344 and 33356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33344 and 33356. First we will calculate the prime factors of 33344 and 33356.

Prime Factorization of 33344

Prime Factorization of 33356

Now multiplying the highest exponent prime factors to calculate the LCM of 33344 and 33356.

LCM(33344,33356) = 2⁶ × 521¹ × 31¹ × 269¹
LCM(33344,33356) = 278055616