What is the Least Common Multiple of 33344 and 33359?

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 33359 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 33359, than apply into the LCM equation.

GCF(33344,33359) = 1
LCM(33344,33359) = ( 33344 × 33359) / 1
LCM(33344,33359) = 1112322496 / 1
LCM(33344,33359) = 1112322496

Least Common Multiple (LCM) of 33344 and 33359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33344 and 33359. First we will calculate the prime factors of 33344 and 33359.

Prime Factorization of 33344

Prime Factorization of 33359

Now multiplying the highest exponent prime factors to calculate the LCM of 33344 and 33359.

LCM(33344,33359) = 2⁶ × 521¹ × 33359¹
LCM(33344,33359) = 1112322496