Least Common Multiple of 1311 and 1319
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 1319 the smallest integer that is 1729209 that is divisible by both numbers.
Least Common Multiple (LCM) of 1311 and 1319 is 1729209.
LCM(1311,1319) = 1729209
LCM of 1311 and 1319
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1311 and 1319 by Prime method
- Least Common Multiple of 1311 and 1319 with GCF Formula
LCM of 1311 and 1319 is 1729209
Least common multiple can be found by multiplying the highest exponent prime factors of 1311 and 1319. First we will calculate the prime factors of 1311 and 1319.
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 1319
| 1319 | 1319 |
| 1 |
Prime factors of 1319 are 1319. Prime factorization of 1319 in exponential form is:
1319 = 13191
Now multiplying the highest exponent prime factors to calculate the LCM of 1311 and 1319.
LCM(1311,1319) = 31×191×231×13191
LCM(1311,1319) = 1729209
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 1319
List of positive integer factors of 1319 that divides 1319 without a remainder.
1, 1319
Least Common Multiple of 1311 and 1319 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 1319, than apply into the LCM equation.
GCF(1311,1319) = 1
LCM(1311,1319) = ( 1311 × 1319) / 1
LCM(1311,1319) = 1729209 / 1
LCM(1311,1319) = 1729209
Properties of LCM 1311 and 1319
(i) The LCM of 1319 and 1311 is associative
LCM of 1311 and 1319 = LCM of 1319 and 1311
Related Least Common Multiples of 1311
Related Least Common Multiples of 1319
Frequently Asked Questions on LCM of 1311 and 1319
1. What is the LCM of 1311 and 1319?
Answer: LCM of 1311 and 1319 is 1729209.
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 1319?
Answer: Factors of 1319 are 1, 1319. There are 2 integers that are factors of 1319. The greatest factor of 1319 is 1319.
4. How to Find the LCM of 1311 and 1319?
Answer:
Least Common Multiple of 1311 and 1319 = 1729209
Step 1: Find the prime factorization of 1311
1311 = 3 x 19 x 23
Step 2: Find the prime factorization of 1319
1319 = 1319
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1729209 = 3 x 19 x 23 x 1319
Step 4: Therefore, the least common multiple of 1311 and 1319 is 1729209.