What is the Least Common Multiple of 66338 and 66353?

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 66338 and 66353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66338 and 66353, than apply into the LCM equation.

GCF(66338,66353) = 1
LCM(66338,66353) = ( 66338 × 66353) / 1
LCM(66338,66353) = 4401725314 / 1
LCM(66338,66353) = 4401725314

Least Common Multiple (LCM) of 66338 and 66353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66338 and 66353. First we will calculate the prime factors of 66338 and 66353.

Prime Factorization of 66338

Prime Factorization of 66353

Now multiplying the highest exponent prime factors to calculate the LCM of 66338 and 66353.

LCM(66338,66353) = 2¹ × 41¹ × 809¹ × 7¹ × 9479¹
LCM(66338,66353) = 4401725314