What is the Least Common Multiple of 1346 and 1359?

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 1346 and 1359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1346 and 1359, than apply into the LCM equation.

GCF(1346,1359) = 1
LCM(1346,1359) = ( 1346 × 1359) / 1
LCM(1346,1359) = 1829214 / 1
LCM(1346,1359) = 1829214

Least Common Multiple (LCM) of 1346 and 1359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1346 and 1359. First we will calculate the prime factors of 1346 and 1359.

Prime Factorization of 1346

Prime Factorization of 1359

Now multiplying the highest exponent prime factors to calculate the LCM of 1346 and 1359.

LCM(1346,1359) = 2¹ × 673¹ × 3² × 151¹
LCM(1346,1359) = 1829214