What is the Least Common Multiple of 33318 and 33333?

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 33318 and 33333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33318 and 33333, than apply into the LCM equation.

GCF(33318,33333) = 3
LCM(33318,33333) = ( 33318 × 33333) / 3
LCM(33318,33333) = 1110588894 / 3
LCM(33318,33333) = 370196298

Least Common Multiple (LCM) of 33318 and 33333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33318 and 33333. First we will calculate the prime factors of 33318 and 33333.

Prime Factorization of 33318

Prime Factorization of 33333

Now multiplying the highest exponent prime factors to calculate the LCM of 33318 and 33333.

LCM(33318,33333) = 2¹ × 3³ × 617¹ × 41¹ × 271¹
LCM(33318,33333) = 370196298