What is the Least Common Multiple of 33231 and 33240?

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 33231 and 33240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33231 and 33240, than apply into the LCM equation.

GCF(33231,33240) = 3
LCM(33231,33240) = ( 33231 × 33240) / 3
LCM(33231,33240) = 1104598440 / 3
LCM(33231,33240) = 368199480

Least Common Multiple (LCM) of 33231 and 33240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33231 and 33240. First we will calculate the prime factors of 33231 and 33240.

Prime Factorization of 33231

Prime Factorization of 33240

Now multiplying the highest exponent prime factors to calculate the LCM of 33231 and 33240.

LCM(33231,33240) = 3¹ × 11¹ × 19¹ × 53¹ × 2³ × 5¹ × 277¹
LCM(33231,33240) = 368199480