What is the Least Common Multiple of 33305 and 33323?

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 33305 and 33323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33305 and 33323, than apply into the LCM equation.

GCF(33305,33323) = 1
LCM(33305,33323) = ( 33305 × 33323) / 1
LCM(33305,33323) = 1109822515 / 1
LCM(33305,33323) = 1109822515

Least Common Multiple (LCM) of 33305 and 33323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33305 and 33323. First we will calculate the prime factors of 33305 and 33323.

Prime Factorization of 33305

Prime Factorization of 33323

Now multiplying the highest exponent prime factors to calculate the LCM of 33305 and 33323.

LCM(33305,33323) = 5¹ × 6661¹ × 47¹ × 709¹
LCM(33305,33323) = 1109822515