What is the Least Common Multiple of 33264 and 33282?

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 33264 and 33282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33264 and 33282, than apply into the LCM equation.

GCF(33264,33282) = 18
LCM(33264,33282) = ( 33264 × 33282) / 18
LCM(33264,33282) = 1107092448 / 18
LCM(33264,33282) = 61505136

Least Common Multiple (LCM) of 33264 and 33282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33264 and 33282. First we will calculate the prime factors of 33264 and 33282.

Prime Factorization of 33264

Prime Factorization of 33282

Now multiplying the highest exponent prime factors to calculate the LCM of 33264 and 33282.

LCM(33264,33282) = 2⁴ × 3³ × 7¹ × 11¹ × 43²
LCM(33264,33282) = 61505136