What is the Least Common Multiple of 1323 and 1332?

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 1332 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 1332, than apply into the LCM equation.

GCF(1323,1332) = 9
LCM(1323,1332) = ( 1323 × 1332) / 9
LCM(1323,1332) = 1762236 / 9
LCM(1323,1332) = 195804

Least Common Multiple (LCM) of 1323 and 1332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1323 and 1332. First we will calculate the prime factors of 1323 and 1332.

Prime Factorization of 1323

Prime Factorization of 1332

Now multiplying the highest exponent prime factors to calculate the LCM of 1323 and 1332.

LCM(1323,1332) = 3³ × 7² × 2² × 37¹
LCM(1323,1332) = 195804