What is the Least Common Multiple of 33321 and 33339?

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 33321 and 33339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33321 and 33339, than apply into the LCM equation.

GCF(33321,33339) = 3
LCM(33321,33339) = ( 33321 × 33339) / 3
LCM(33321,33339) = 1110888819 / 3
LCM(33321,33339) = 370296273

Least Common Multiple (LCM) of 33321 and 33339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33321 and 33339. First we will calculate the prime factors of 33321 and 33339.

Prime Factorization of 33321

Prime Factorization of 33339

Now multiplying the highest exponent prime factors to calculate the LCM of 33321 and 33339.

LCM(33321,33339) = 3¹ × 29¹ × 383¹ × 11113¹
LCM(33321,33339) = 370296273