Least Common Multiple of 3443 and 3451
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3443 and 3451 the smallest integer that is 11881793 that is divisible by both numbers.
Least Common Multiple (LCM) of 3443 and 3451 is 11881793.
LCM(3443,3451) = 11881793
LCM of 3443 and 3451
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3443 and 3451 by Prime method
- Least Common Multiple of 3443 and 3451 with GCF Formula
LCM of 3443 and 3451 is 11881793
Least common multiple can be found by multiplying the highest exponent prime factors of 3443 and 3451. First we will calculate the prime factors of 3443 and 3451.
Prime Factorization of 3443
| 11 | 3443 |
| 313 | 313 |
| 1 |
Prime factors of 3443 are 11,313. Prime factorization of 3443 in exponential form is:
3443 = 111×3131
Prime Factorization of 3451
| 7 | 3451 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 3451 are 7, 17,29. Prime factorization of 3451 in exponential form is:
3451 = 71×171×291
Now multiplying the highest exponent prime factors to calculate the LCM of 3443 and 3451.
LCM(3443,3451) = 71×111×171×291×3131
LCM(3443,3451) = 11881793
Factors of 3443
List of positive integer factors of 3443 that divides 3443 without a remainder.
1, 11, 313, 3443
Factors of 3451
List of positive integer factors of 3451 that divides 3451 without a remainder.
1, 7, 17, 29, 119, 203, 493, 3451
Least Common Multiple of 3443 and 3451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3443 and 3451, than apply into the LCM equation.
GCF(3443,3451) = 1
LCM(3443,3451) = ( 3443 × 3451) / 1
LCM(3443,3451) = 11881793 / 1
LCM(3443,3451) = 11881793
Properties of LCM 3443 and 3451
(i) The LCM of 3451 and 3443 is associative
LCM of 3443 and 3451 = LCM of 3451 and 3443
Related Least Common Multiples of 3443
Related Least Common Multiples of 3451
Frequently Asked Questions on LCM of 3443 and 3451
1. What is the LCM of 3443 and 3451?
Answer: LCM of 3443 and 3451 is 11881793.
2. What are the Factors of 3443?
Answer: Factors of 3443 are 1, 11, 313, 3443. There are 4 integers that are factors of 3443. The greatest factor of 3443 is 3443.
3. What are the Factors of 3451?
Answer: Factors of 3451 are 1, 7, 17, 29, 119, 203, 493, 3451. There are 8 integers that are factors of 3451. The greatest factor of 3451 is 3451.
4. How to Find the LCM of 3443 and 3451?
Answer:
Least Common Multiple of 3443 and 3451 = 11881793
Step 1: Find the prime factorization of 3443
3443 = 11 x 313
Step 2: Find the prime factorization of 3451
3451 = 7 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11881793 = 7 x 11 x 17 x 29 x 313
Step 4: Therefore, the least common multiple of 3443 and 3451 is 11881793.