What is the Least Common Multiple of 33385 and 33396?

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 33385 and 33396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33385 and 33396, than apply into the LCM equation.

GCF(33385,33396) = 11
LCM(33385,33396) = ( 33385 × 33396) / 11
LCM(33385,33396) = 1114925460 / 11
LCM(33385,33396) = 101356860

Least Common Multiple (LCM) of 33385 and 33396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33385 and 33396. First we will calculate the prime factors of 33385 and 33396.

Prime Factorization of 33385

Prime Factorization of 33396

Now multiplying the highest exponent prime factors to calculate the LCM of 33385 and 33396.

LCM(33385,33396) = 5¹ × 11² × 607¹ × 2² × 3¹ × 23¹
LCM(33385,33396) = 101356860