What is the Least Common Multiple of 1329 and 1346?

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 1329 and 1346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1329 and 1346, than apply into the LCM equation.

GCF(1329,1346) = 1
LCM(1329,1346) = ( 1329 × 1346) / 1
LCM(1329,1346) = 1788834 / 1
LCM(1329,1346) = 1788834

Least Common Multiple (LCM) of 1329 and 1346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1329 and 1346. First we will calculate the prime factors of 1329 and 1346.

Prime Factorization of 1329

Prime Factorization of 1346

Now multiplying the highest exponent prime factors to calculate the LCM of 1329 and 1346.

LCM(1329,1346) = 3¹ × 443¹ × 2¹ × 673¹
LCM(1329,1346) = 1788834