Least Common Multiple of 5371 and 5379
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5371 and 5379 the smallest integer that is 28890609 that is divisible by both numbers.
Least Common Multiple (LCM) of 5371 and 5379 is 28890609.
LCM(5371,5379) = 28890609
LCM of 5371 and 5379
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5371 and 5379 by Prime method
- Least Common Multiple of 5371 and 5379 with GCF Formula
LCM of 5371 and 5379 is 28890609
Least common multiple can be found by multiplying the highest exponent prime factors of 5371 and 5379. First we will calculate the prime factors of 5371 and 5379.
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
Prime Factorization of 5379
| 3 | 5379 |
| 11 | 1793 |
| 163 | 163 |
| 1 |
Prime factors of 5379 are 3, 11,163. Prime factorization of 5379 in exponential form is:
5379 = 31×111×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 5371 and 5379.
LCM(5371,5379) = 31×111×411×1311×1631
LCM(5371,5379) = 28890609
Factors of 5371
List of positive integer factors of 5371 that divides 5371 without a remainder.
1, 41, 131, 5371
Factors of 5379
List of positive integer factors of 5379 that divides 5379 without a remainder.
1, 3, 11, 33, 163, 489, 1793, 5379
Least Common Multiple of 5371 and 5379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5371 and 5379, than apply into the LCM equation.
GCF(5371,5379) = 1
LCM(5371,5379) = ( 5371 × 5379) / 1
LCM(5371,5379) = 28890609 / 1
LCM(5371,5379) = 28890609
Properties of LCM 5371 and 5379
(i) The LCM of 5379 and 5371 is associative
LCM of 5371 and 5379 = LCM of 5379 and 5371
Related Least Common Multiples of 5371
Related Least Common Multiples of 5379
Frequently Asked Questions on LCM of 5371 and 5379
1. What is the LCM of 5371 and 5379?
Answer: LCM of 5371 and 5379 is 28890609.
2. 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.
3. What are the Factors of 5379?
Answer: Factors of 5379 are 1, 3, 11, 33, 163, 489, 1793, 5379. There are 8 integers that are factors of 5379. The greatest factor of 5379 is 5379.
4. How to Find the LCM of 5371 and 5379?
Answer:
Least Common Multiple of 5371 and 5379 = 28890609
Step 1: Find the prime factorization of 5371
5371 = 41 x 131
Step 2: Find the prime factorization of 5379
5379 = 3 x 11 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28890609 = 3 x 11 x 41 x 131 x 163
Step 4: Therefore, the least common multiple of 5371 and 5379 is 28890609.