What is the Least Common Multiple of 1323 and 1338?

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 1323 and 1338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1323 and 1338, than apply into the LCM equation.

GCF(1323,1338) = 3
LCM(1323,1338) = ( 1323 × 1338) / 3
LCM(1323,1338) = 1770174 / 3
LCM(1323,1338) = 590058

Least Common Multiple (LCM) of 1323 and 1338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1323 and 1338. First we will calculate the prime factors of 1323 and 1338.

Prime Factorization of 1323

Prime Factorization of 1338

Now multiplying the highest exponent prime factors to calculate the LCM of 1323 and 1338.

LCM(1323,1338) = 3³ × 7² × 2¹ × 223¹
LCM(1323,1338) = 590058