Least Common Multiple of 13311 and 13316
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13311 and 13316 the smallest integer that is 177249276 that is divisible by both numbers.
Least Common Multiple (LCM) of 13311 and 13316 is 177249276.
LCM(13311,13316) = 177249276
LCM of 13311 and 13316
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13311 and 13316 by Prime method
- Least Common Multiple of 13311 and 13316 with GCF Formula
LCM of 13311 and 13316 is 177249276
Least common multiple can be found by multiplying the highest exponent prime factors of 13311 and 13316. First we will calculate the prime factors of 13311 and 13316.
Prime Factorization of 13311
| 3 | 13311 |
| 3 | 4437 |
| 3 | 1479 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 13311 are 3, 17,29. Prime factorization of 13311 in exponential form is:
13311 = 33×171×291
Prime Factorization of 13316
| 2 | 13316 |
| 2 | 6658 |
| 3329 | 3329 |
| 1 |
Prime factors of 13316 are 2,3329. Prime factorization of 13316 in exponential form is:
13316 = 22×33291
Now multiplying the highest exponent prime factors to calculate the LCM of 13311 and 13316.
LCM(13311,13316) = 22×33×171×291×33291
LCM(13311,13316) = 177249276
Factors of 13311
List of positive integer factors of 13311 that divides 13311 without a remainder.
1, 3, 9, 17, 27, 29, 51, 87, 153, 261, 459, 493, 783, 1479, 4437, 13311
Factors of 13316
List of positive integer factors of 13316 that divides 13316 without a remainder.
1, 2, 4, 3329, 6658, 13316
Least Common Multiple of 13311 and 13316 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13311 and 13316, than apply into the LCM equation.
GCF(13311,13316) = 1
LCM(13311,13316) = ( 13311 × 13316) / 1
LCM(13311,13316) = 177249276 / 1
LCM(13311,13316) = 177249276
Properties of LCM 13311 and 13316
(i) The LCM of 13316 and 13311 is associative
LCM of 13311 and 13316 = LCM of 13316 and 13311
Related Least Common Multiples of 13311
Related Least Common Multiples of 13316
Frequently Asked Questions on LCM of 13311 and 13316
1. What is the LCM of 13311 and 13316?
Answer: LCM of 13311 and 13316 is 177249276.
2. What are the Factors of 13311?
Answer: Factors of 13311 are 1, 3, 9, 17, 27, 29, 51, 87, 153, 261, 459, 493, 783, 1479, 4437, 13311. There are 16 integers that are factors of 13311. The greatest factor of 13311 is 13311.
3. What are the Factors of 13316?
Answer: Factors of 13316 are 1, 2, 4, 3329, 6658, 13316. There are 6 integers that are factors of 13316. The greatest factor of 13316 is 13316.
4. How to Find the LCM of 13311 and 13316?
Answer:
Least Common Multiple of 13311 and 13316 = 177249276
Step 1: Find the prime factorization of 13311
13311 = 3 x 3 x 3 x 17 x 29
Step 2: Find the prime factorization of 13316
13316 = 2 x 2 x 3329
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 177249276 = 2 x 2 x 3 x 3 x 3 x 17 x 29 x 3329
Step 4: Therefore, the least common multiple of 13311 and 13316 is 177249276.