Least Common Multiple of 1311 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 1311 and 1317 the smallest integer that is 575529 that is divisible by both numbers.
Least Common Multiple (LCM) of 1311 and 1317 is 575529.
LCM(1311,1317) = 575529
LCM of 1311 and 1317
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1311 and 1317 by Prime method
- Least Common Multiple of 1311 and 1317 with GCF Formula
LCM of 1311 and 1317 is 575529
Least common multiple can be found by multiplying the highest exponent prime factors of 1311 and 1317. First we will calculate the prime factors of 1311 and 1317.
Prime Factorization of 1311
| 3 | 1311 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 1311 are 3, 19,23. Prime factorization of 1311 in exponential form is:
1311 = 31×191×231
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 1311 and 1317.
LCM(1311,1317) = 31×191×231×4391
LCM(1311,1317) = 575529
Factors of 1311
List of positive integer factors of 1311 that divides 1311 without a remainder.
1, 3, 19, 23, 57, 69, 437, 1311
Factors of 1317
List of positive integer factors of 1317 that divides 1317 without a remainder.
1, 3, 439, 1317
Least Common Multiple of 1311 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 1311 and 1317, than apply into the LCM equation.
GCF(1311,1317) = 3
LCM(1311,1317) = ( 1311 × 1317) / 3
LCM(1311,1317) = 1726587 / 3
LCM(1311,1317) = 575529
Properties of LCM 1311 and 1317
(i) The LCM of 1317 and 1311 is associative
LCM of 1311 and 1317 = LCM of 1317 and 1311
Related Least Common Multiples of 1311
Related Least Common Multiples of 1317
Frequently Asked Questions on LCM of 1311 and 1317
1. What is the LCM of 1311 and 1317?
Answer: LCM of 1311 and 1317 is 575529.
2. What are the Factors of 1311?
Answer: Factors of 1311 are 1, 3, 19, 23, 57, 69, 437, 1311. There are 8 integers that are factors of 1311. The greatest factor of 1311 is 1311.
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 1311 and 1317?
Answer:
Least Common Multiple of 1311 and 1317 = 575529
Step 1: Find the prime factorization of 1311
1311 = 3 x 19 x 23
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 = 575529 = 3 x 19 x 23 x 439
Step 4: Therefore, the least common multiple of 1311 and 1317 is 575529.