What is the Least Common Multiple of 33264 and 33284?

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 33284 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 33284, than apply into the LCM equation.

GCF(33264,33284) = 4
LCM(33264,33284) = ( 33264 × 33284) / 4
LCM(33264,33284) = 1107158976 / 4
LCM(33264,33284) = 276789744

Least Common Multiple (LCM) of 33264 and 33284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33264 and 33284. First we will calculate the prime factors of 33264 and 33284.

Prime Factorization of 33264

Prime Factorization of 33284

Now multiplying the highest exponent prime factors to calculate the LCM of 33264 and 33284.

LCM(33264,33284) = 2⁴ × 3³ × 7¹ × 11¹ × 53¹ × 157¹
LCM(33264,33284) = 276789744