Least Common Multiple of 1343 and 1347
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1343 and 1347 the smallest integer that is 1809021 that is divisible by both numbers.
Least Common Multiple (LCM) of 1343 and 1347 is 1809021.
LCM(1343,1347) = 1809021
LCM of 1343 and 1347
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1343 and 1347 by Prime method
- Least Common Multiple of 1343 and 1347 with GCF Formula
LCM of 1343 and 1347 is 1809021
Least common multiple can be found by multiplying the highest exponent prime factors of 1343 and 1347. First we will calculate the prime factors of 1343 and 1347.
Prime Factorization of 1343
| 17 | 1343 |
| 79 | 79 |
| 1 |
Prime factors of 1343 are 17,79. Prime factorization of 1343 in exponential form is:
1343 = 171×791
Prime Factorization of 1347
| 3 | 1347 |
| 449 | 449 |
| 1 |
Prime factors of 1347 are 3,449. Prime factorization of 1347 in exponential form is:
1347 = 31×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 1343 and 1347.
LCM(1343,1347) = 31×171×791×4491
LCM(1343,1347) = 1809021
Factors of 1343
List of positive integer factors of 1343 that divides 1343 without a remainder.
1, 17, 79, 1343
Factors of 1347
List of positive integer factors of 1347 that divides 1347 without a remainder.
1, 3, 449, 1347
Least Common Multiple of 1343 and 1347 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1343 and 1347, than apply into the LCM equation.
GCF(1343,1347) = 1
LCM(1343,1347) = ( 1343 × 1347) / 1
LCM(1343,1347) = 1809021 / 1
LCM(1343,1347) = 1809021
Properties of LCM 1343 and 1347
(i) The LCM of 1347 and 1343 is associative
LCM of 1343 and 1347 = LCM of 1347 and 1343
Related Least Common Multiples of 1343
Related Least Common Multiples of 1347
Frequently Asked Questions on LCM of 1343 and 1347
1. What is the LCM of 1343 and 1347?
Answer: LCM of 1343 and 1347 is 1809021.
2. What are the Factors of 1343?
Answer: Factors of 1343 are 1, 17, 79, 1343. There are 4 integers that are factors of 1343. The greatest factor of 1343 is 1343.
3. What are the Factors of 1347?
Answer: Factors of 1347 are 1, 3, 449, 1347. There are 4 integers that are factors of 1347. The greatest factor of 1347 is 1347.
4. How to Find the LCM of 1343 and 1347?
Answer:
Least Common Multiple of 1343 and 1347 = 1809021
Step 1: Find the prime factorization of 1343
1343 = 17 x 79
Step 2: Find the prime factorization of 1347
1347 = 3 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1809021 = 3 x 17 x 79 x 449
Step 4: Therefore, the least common multiple of 1343 and 1347 is 1809021.