What is the Least Common Multiple of 66333 and 66338?

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 66333 and 66338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66333 and 66338, than apply into the LCM equation.

GCF(66333,66338) = 1
LCM(66333,66338) = ( 66333 × 66338) / 1
LCM(66333,66338) = 4400398554 / 1
LCM(66333,66338) = 4400398554

Least Common Multiple (LCM) of 66333 and 66338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66333 and 66338. First we will calculate the prime factors of 66333 and 66338.

Prime Factorization of 66333

Prime Factorization of 66338

Now multiplying the highest exponent prime factors to calculate the LCM of 66333 and 66338.

LCM(66333,66338) = 3¹ × 22111¹ × 2¹ × 41¹ × 809¹
LCM(66333,66338) = 4400398554