Least Common Multiple of 5365 and 5371
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5365 and 5371 the smallest integer that is 28815415 that is divisible by both numbers.
Least Common Multiple (LCM) of 5365 and 5371 is 28815415.
LCM(5365,5371) = 28815415
LCM of 5365 and 5371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5365 and 5371 by Prime method
- Least Common Multiple of 5365 and 5371 with GCF Formula
LCM of 5365 and 5371 is 28815415
Least common multiple can be found by multiplying the highest exponent prime factors of 5365 and 5371. First we will calculate the prime factors of 5365 and 5371.
Prime Factorization of 5365
| 5 | 5365 |
| 29 | 1073 |
| 37 | 37 |
| 1 |
Prime factors of 5365 are 5, 29,37. Prime factorization of 5365 in exponential form is:
5365 = 51×291×371
Prime Factorization of 5371
| 41 | 5371 |
| 131 | 131 |
| 1 |
Prime factors of 5371 are 41,131. Prime factorization of 5371 in exponential form is:
5371 = 411×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 5365 and 5371.
LCM(5365,5371) = 51×291×371×411×1311
LCM(5365,5371) = 28815415
Factors of 5365
List of positive integer factors of 5365 that divides 5365 without a remainder.
1, 5, 29, 37, 145, 185, 1073, 5365
Factors of 5371
List of positive integer factors of 5371 that divides 5371 without a remainder.
1, 41, 131, 5371
Least Common Multiple of 5365 and 5371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5365 and 5371, than apply into the LCM equation.
GCF(5365,5371) = 1
LCM(5365,5371) = ( 5365 × 5371) / 1
LCM(5365,5371) = 28815415 / 1
LCM(5365,5371) = 28815415
Properties of LCM 5365 and 5371
(i) The LCM of 5371 and 5365 is associative
LCM of 5365 and 5371 = LCM of 5371 and 5365
Related Least Common Multiples of 5365
Related Least Common Multiples of 5371
Frequently Asked Questions on LCM of 5365 and 5371
1. What is the LCM of 5365 and 5371?
Answer: LCM of 5365 and 5371 is 28815415.
2. What are the Factors of 5365?
Answer: Factors of 5365 are 1, 5, 29, 37, 145, 185, 1073, 5365. There are 8 integers that are factors of 5365. The greatest factor of 5365 is 5365.
3. What are the Factors of 5371?
Answer: Factors of 5371 are 1, 41, 131, 5371. There are 4 integers that are factors of 5371. The greatest factor of 5371 is 5371.
4. How to Find the LCM of 5365 and 5371?
Answer:
Least Common Multiple of 5365 and 5371 = 28815415
Step 1: Find the prime factorization of 5365
5365 = 5 x 29 x 37
Step 2: Find the prime factorization of 5371
5371 = 41 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28815415 = 5 x 29 x 37 x 41 x 131
Step 4: Therefore, the least common multiple of 5365 and 5371 is 28815415.