What is the Least Common Multiple of 33296 and 33306?

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 33296 and 33306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33296 and 33306, than apply into the LCM equation.

GCF(33296,33306) = 2
LCM(33296,33306) = ( 33296 × 33306) / 2
LCM(33296,33306) = 1108956576 / 2
LCM(33296,33306) = 554478288

Least Common Multiple (LCM) of 33296 and 33306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33296 and 33306. First we will calculate the prime factors of 33296 and 33306.

Prime Factorization of 33296

Prime Factorization of 33306

Now multiplying the highest exponent prime factors to calculate the LCM of 33296 and 33306.

LCM(33296,33306) = 2⁴ × 2081¹ × 3¹ × 7¹ × 13¹ × 61¹
LCM(33296,33306) = 554478288