What is the Least Common Multiple of 33286 and 33296?

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 33286 and 33296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33286 and 33296, than apply into the LCM equation.

GCF(33286,33296) = 2
LCM(33286,33296) = ( 33286 × 33296) / 2
LCM(33286,33296) = 1108290656 / 2
LCM(33286,33296) = 554145328

Least Common Multiple (LCM) of 33286 and 33296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33286 and 33296. First we will calculate the prime factors of 33286 and 33296.

Prime Factorization of 33286

Prime Factorization of 33296

Now multiplying the highest exponent prime factors to calculate the LCM of 33286 and 33296.

LCM(33286,33296) = 2⁴ × 11¹ × 17¹ × 89¹ × 2081¹
LCM(33286,33296) = 554145328