Least Common Multiple of 5343 and 5351
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5343 and 5351 the smallest integer that is 28590393 that is divisible by both numbers.
Least Common Multiple (LCM) of 5343 and 5351 is 28590393.
LCM(5343,5351) = 28590393
LCM of 5343 and 5351
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5343 and 5351 by Prime method
- Least Common Multiple of 5343 and 5351 with GCF Formula
LCM of 5343 and 5351 is 28590393
Least common multiple can be found by multiplying the highest exponent prime factors of 5343 and 5351. First we will calculate the prime factors of 5343 and 5351.
Prime Factorization of 5343
| 3 | 5343 |
| 13 | 1781 |
| 137 | 137 |
| 1 |
Prime factors of 5343 are 3, 13,137. Prime factorization of 5343 in exponential form is:
5343 = 31×131×1371
Prime Factorization of 5351
| 5351 | 5351 |
| 1 |
Prime factors of 5351 are 5351. Prime factorization of 5351 in exponential form is:
5351 = 53511
Now multiplying the highest exponent prime factors to calculate the LCM of 5343 and 5351.
LCM(5343,5351) = 31×131×1371×53511
LCM(5343,5351) = 28590393
Factors of 5343
List of positive integer factors of 5343 that divides 5343 without a remainder.
1, 3, 13, 39, 137, 411, 1781, 5343
Factors of 5351
List of positive integer factors of 5351 that divides 5351 without a remainder.
1, 5351
Least Common Multiple of 5343 and 5351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5343 and 5351, than apply into the LCM equation.
GCF(5343,5351) = 1
LCM(5343,5351) = ( 5343 × 5351) / 1
LCM(5343,5351) = 28590393 / 1
LCM(5343,5351) = 28590393
Properties of LCM 5343 and 5351
(i) The LCM of 5351 and 5343 is associative
LCM of 5343 and 5351 = LCM of 5351 and 5343
Related Least Common Multiples of 5343
Related Least Common Multiples of 5351
Frequently Asked Questions on LCM of 5343 and 5351
1. What is the LCM of 5343 and 5351?
Answer: LCM of 5343 and 5351 is 28590393.
2. What are the Factors of 5343?
Answer: Factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343. There are 8 integers that are factors of 5343. The greatest factor of 5343 is 5343.
3. What are the Factors of 5351?
Answer: Factors of 5351 are 1, 5351. There are 2 integers that are factors of 5351. The greatest factor of 5351 is 5351.
4. How to Find the LCM of 5343 and 5351?
Answer:
Least Common Multiple of 5343 and 5351 = 28590393
Step 1: Find the prime factorization of 5343
5343 = 3 x 13 x 137
Step 2: Find the prime factorization of 5351
5351 = 5351
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28590393 = 3 x 13 x 137 x 5351
Step 4: Therefore, the least common multiple of 5343 and 5351 is 28590393.