What is the Least Common Multiple of 33216 and 33231?

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 33216 and 33231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33216 and 33231, than apply into the LCM equation.

GCF(33216,33231) = 3
LCM(33216,33231) = ( 33216 × 33231) / 3
LCM(33216,33231) = 1103800896 / 3
LCM(33216,33231) = 367933632

Least Common Multiple (LCM) of 33216 and 33231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33216 and 33231. First we will calculate the prime factors of 33216 and 33231.

Prime Factorization of 33216

Prime Factorization of 33231

Now multiplying the highest exponent prime factors to calculate the LCM of 33216 and 33231.

LCM(33216,33231) = 2⁶ × 3¹ × 173¹ × 11¹ × 19¹ × 53¹
LCM(33216,33231) = 367933632