What is the Least Common Multiple of 13321 and 13338?

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 13321 and 13338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13321 and 13338, than apply into the LCM equation.

GCF(13321,13338) = 1
LCM(13321,13338) = ( 13321 × 13338) / 1
LCM(13321,13338) = 177675498 / 1
LCM(13321,13338) = 177675498

Least Common Multiple (LCM) of 13321 and 13338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13321 and 13338. First we will calculate the prime factors of 13321 and 13338.

Prime Factorization of 13321

Prime Factorization of 13338

Now multiplying the highest exponent prime factors to calculate the LCM of 13321 and 13338.

LCM(13321,13338) = 7¹ × 11¹ × 173¹ × 2¹ × 3³ × 13¹ × 19¹
LCM(13321,13338) = 177675498