What is the Least Common Multiple of 1329 and 1349?

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 1349 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 1349, than apply into the LCM equation.

GCF(1329,1349) = 1
LCM(1329,1349) = ( 1329 × 1349) / 1
LCM(1329,1349) = 1792821 / 1
LCM(1329,1349) = 1792821

Least Common Multiple (LCM) of 1329 and 1349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1329 and 1349. First we will calculate the prime factors of 1329 and 1349.

Prime Factorization of 1329

Prime Factorization of 1349

Now multiplying the highest exponent prime factors to calculate the LCM of 1329 and 1349.

LCM(1329,1349) = 3¹ × 443¹ × 19¹ × 71¹
LCM(1329,1349) = 1792821