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What is the Least Common Multiple of 1316 and 1335?

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 1316 and 1335 is 1756860.

LCM(1316,1335) = 1756860

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Least Common Multiple of 1316 and 1335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1316 and 1335, than apply into the LCM equation.

GCF(1316,1335) = 1
LCM(1316,1335) = ( 1316 × 1335) / 1
LCM(1316,1335) = 1756860 / 1
LCM(1316,1335) = 1756860

Least Common Multiple (LCM) of 1316 and 1335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1316 and 1335. First we will calculate the prime factors of 1316 and 1335.

Prime Factorization of 1316

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

1316 = 22 × 71 × 471

Prime Factorization of 1335

Prime factors of 1335 are 3, 5, 89. Prime factorization of 1335 in exponential form is:

1335 = 31 × 51 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 1316 and 1335.

LCM(1316,1335) = 22 × 71 × 471 × 31 × 51 × 891
LCM(1316,1335) = 1756860