What is the Least Common Multiple of 1317 and 1331?

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 1317 and 1331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1317 and 1331, than apply into the LCM equation.

GCF(1317,1331) = 1
LCM(1317,1331) = ( 1317 × 1331) / 1
LCM(1317,1331) = 1752927 / 1
LCM(1317,1331) = 1752927

Least Common Multiple (LCM) of 1317 and 1331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1317 and 1331. First we will calculate the prime factors of 1317 and 1331.

Prime Factorization of 1317

Prime Factorization of 1331

Now multiplying the highest exponent prime factors to calculate the LCM of 1317 and 1331.

LCM(1317,1331) = 3¹ × 439¹ × 11³
LCM(1317,1331) = 1752927