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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 (LCM) of 1317 and 1331 is 1752927.

LCM(1317,1331) = 1752927

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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 factors of 1317 are 3, 439. Prime factorization of 1317 in exponential form is:

1317 = 31 × 4391

Prime Factorization of 1331

Prime factors of 1331 are 11. Prime factorization of 1331 in exponential form is:

1331 = 113

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