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What is the Least Common Multiple of 1311 and 1316?

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 1311 and 1316 is 1725276.

LCM(1311,1316) = 1725276

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Least Common Multiple of 1311 and 1316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1311 and 1316, than apply into the LCM equation.

GCF(1311,1316) = 1
LCM(1311,1316) = ( 1311 × 1316) / 1
LCM(1311,1316) = 1725276 / 1
LCM(1311,1316) = 1725276

Least Common Multiple (LCM) of 1311 and 1316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1311 and 1316. First we will calculate the prime factors of 1311 and 1316.

Prime Factorization of 1311

Prime factors of 1311 are 3, 19, 23. Prime factorization of 1311 in exponential form is:

1311 = 31 × 191 × 231

Prime Factorization of 1316

Prime factors of 1316 are 2, 7, 47. Prime factorization of 1316 in exponential form is:

1316 = 22 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 1311 and 1316.

LCM(1311,1316) = 31 × 191 × 231 × 22 × 71 × 471
LCM(1311,1316) = 1725276