Least Common Multiple of 5339 and 5343
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5339 and 5343 the smallest integer that is 28526277 that is divisible by both numbers.
Least Common Multiple (LCM) of 5339 and 5343 is 28526277.
LCM(5339,5343) = 28526277
LCM of 5339 and 5343
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5339 and 5343 by Prime method
- Least Common Multiple of 5339 and 5343 with GCF Formula
LCM of 5339 and 5343 is 28526277
Least common multiple can be found by multiplying the highest exponent prime factors of 5339 and 5343. First we will calculate the prime factors of 5339 and 5343.
Prime Factorization of 5339
| 19 | 5339 |
| 281 | 281 |
| 1 |
Prime factors of 5339 are 19,281. Prime factorization of 5339 in exponential form is:
5339 = 191×2811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5339 and 5343.
LCM(5339,5343) = 31×131×191×1371×2811
LCM(5339,5343) = 28526277
Factors of 5339
List of positive integer factors of 5339 that divides 5339 without a remainder.
1, 19, 281, 5339
Factors of 5343
List of positive integer factors of 5343 that divides 5343 without a remainder.
1, 3, 13, 39, 137, 411, 1781, 5343
Least Common Multiple of 5339 and 5343 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5339 and 5343, than apply into the LCM equation.
GCF(5339,5343) = 1
LCM(5339,5343) = ( 5339 × 5343) / 1
LCM(5339,5343) = 28526277 / 1
LCM(5339,5343) = 28526277
Properties of LCM 5339 and 5343
(i) The LCM of 5343 and 5339 is associative
LCM of 5339 and 5343 = LCM of 5343 and 5339
Related Least Common Multiples of 5339
Related Least Common Multiples of 5343
Frequently Asked Questions on LCM of 5339 and 5343
1. What is the LCM of 5339 and 5343?
Answer: LCM of 5339 and 5343 is 28526277.
2. What are the Factors of 5339?
Answer: Factors of 5339 are 1, 19, 281, 5339. There are 4 integers that are factors of 5339. The greatest factor of 5339 is 5339.
3. 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.
4. How to Find the LCM of 5339 and 5343?
Answer:
Least Common Multiple of 5339 and 5343 = 28526277
Step 1: Find the prime factorization of 5339
5339 = 19 x 281
Step 2: Find the prime factorization of 5343
5343 = 3 x 13 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28526277 = 3 x 13 x 19 x 137 x 281
Step 4: Therefore, the least common multiple of 5339 and 5343 is 28526277.