What is the Least Common Multiple of 33306 and 33311?

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 33306 and 33311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33306 and 33311, than apply into the LCM equation.

GCF(33306,33311) = 1
LCM(33306,33311) = ( 33306 × 33311) / 1
LCM(33306,33311) = 1109456166 / 1
LCM(33306,33311) = 1109456166

Least Common Multiple (LCM) of 33306 and 33311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33306 and 33311. First we will calculate the prime factors of 33306 and 33311.

Prime Factorization of 33306

Prime Factorization of 33311

Now multiplying the highest exponent prime factors to calculate the LCM of 33306 and 33311.

LCM(33306,33311) = 2¹ × 3¹ × 7¹ × 13¹ × 61¹ × 33311¹
LCM(33306,33311) = 1109456166