Least Common Multiple of 1312 and 1317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1312 and 1317 the smallest integer that is 1727904 that is divisible by both numbers.

Least Common Multiple (LCM) of 1312 and 1317 is 1727904.

LCM(1312,1317) = 1727904

LCM of 1312 and 1317

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1312 and 1317

LCM of 1312 and 1317 is 1727904

Least common multiple can be found by multiplying the highest exponent prime factors of 1312 and 1317. First we will calculate the prime factors of 1312 and 1317.

Prime Factorization of 1312


2 1312
2 656
2 328
2 164
2 82
41 41
1

Prime factors of 1312 are 2,41. Prime factorization of 1312 in exponential form is:

1312 = 25×411

Prime Factorization of 1317


3 1317
439 439
1

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

1317 = 31×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 1312 and 1317.

LCM(1312,1317) = 25×31×411×4391
LCM(1312,1317) = 1727904

Factors of 1312

List of positive integer factors of 1312 that divides 1312 without a remainder.

1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312

Factors of 1317

List of positive integer factors of 1317 that divides 1317 without a remainder.

1, 3, 439, 1317

Least Common Multiple of 1312 and 1317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1312 and 1317, than apply into the LCM equation.

GCF(1312,1317) = 1
LCM(1312,1317) = ( 1312 × 1317) / 1
LCM(1312,1317) = 1727904 / 1
LCM(1312,1317) = 1727904

Properties of LCM 1312 and 1317

(i) The LCM of 1317 and 1312 is associative

LCM of 1312 and 1317 = LCM of 1317 and 1312

Related Least Common Multiples of 1312

Related Least Common Multiples of 1317

Frequently Asked Questions on LCM of 1312 and 1317

1. What is the LCM of 1312 and 1317?

Answer: LCM of 1312 and 1317 is 1727904.

2. What are the Factors of 1312?

Answer: Factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312. There are 12 integers that are factors of 1312. The greatest factor of 1312 is 1312.

3. What are the Factors of 1317?

Answer: Factors of 1317 are 1, 3, 439, 1317. There are 4 integers that are factors of 1317. The greatest factor of 1317 is 1317.

4. How to Find the LCM of 1312 and 1317?

Answer:

Least Common Multiple of 1312 and 1317 = 1727904

Step 1: Find the prime factorization of 1312

1312 = 2 x 2 x 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 1317

1317 = 3 x 439

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1727904 = 2 x 2 x 2 x 2 x 2 x 3 x 41 x 439

Step 4: Therefore, the least common multiple of 1312 and 1317 is 1727904.