What is the Least Common Multiple of 33864 and 33882?

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 33864 and 33882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33864 and 33882, than apply into the LCM equation.

GCF(33864,33882) = 6
LCM(33864,33882) = ( 33864 × 33882) / 6
LCM(33864,33882) = 1147380048 / 6
LCM(33864,33882) = 191230008

Least Common Multiple (LCM) of 33864 and 33882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33864 and 33882. First we will calculate the prime factors of 33864 and 33882.

Prime Factorization of 33864

Prime Factorization of 33882

Now multiplying the highest exponent prime factors to calculate the LCM of 33864 and 33882.

LCM(33864,33882) = 2³ × 3¹ × 17¹ × 83¹ × 5647¹
LCM(33864,33882) = 191230008