Least Common Multiple of 5129 and 5135
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5129 and 5135 the smallest integer that is 26337415 that is divisible by both numbers.
Least Common Multiple (LCM) of 5129 and 5135 is 26337415.
LCM(5129,5135) = 26337415
LCM of 5129 and 5135
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5129 and 5135 by Prime method
- Least Common Multiple of 5129 and 5135 with GCF Formula
LCM of 5129 and 5135 is 26337415
Least common multiple can be found by multiplying the highest exponent prime factors of 5129 and 5135. First we will calculate the prime factors of 5129 and 5135.
Prime Factorization of 5129
| 23 | 5129 |
| 223 | 223 |
| 1 |
Prime factors of 5129 are 23,223. Prime factorization of 5129 in exponential form is:
5129 = 231×2231
Prime Factorization of 5135
| 5 | 5135 |
| 13 | 1027 |
| 79 | 79 |
| 1 |
Prime factors of 5135 are 5, 13,79. Prime factorization of 5135 in exponential form is:
5135 = 51×131×791
Now multiplying the highest exponent prime factors to calculate the LCM of 5129 and 5135.
LCM(5129,5135) = 51×131×231×791×2231
LCM(5129,5135) = 26337415
Factors of 5129
List of positive integer factors of 5129 that divides 5129 without a remainder.
1, 23, 223, 5129
Factors of 5135
List of positive integer factors of 5135 that divides 5135 without a remainder.
1, 5, 13, 65, 79, 395, 1027, 5135
Least Common Multiple of 5129 and 5135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5129 and 5135, than apply into the LCM equation.
GCF(5129,5135) = 1
LCM(5129,5135) = ( 5129 × 5135) / 1
LCM(5129,5135) = 26337415 / 1
LCM(5129,5135) = 26337415
Properties of LCM 5129 and 5135
(i) The LCM of 5135 and 5129 is associative
LCM of 5129 and 5135 = LCM of 5135 and 5129
Related Least Common Multiples of 5129
Related Least Common Multiples of 5135
Frequently Asked Questions on LCM of 5129 and 5135
1. What is the LCM of 5129 and 5135?
Answer: LCM of 5129 and 5135 is 26337415.
2. What are the Factors of 5129?
Answer: Factors of 5129 are 1, 23, 223, 5129. There are 4 integers that are factors of 5129. The greatest factor of 5129 is 5129.
3. What are the Factors of 5135?
Answer: Factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135. There are 8 integers that are factors of 5135. The greatest factor of 5135 is 5135.
4. How to Find the LCM of 5129 and 5135?
Answer:
Least Common Multiple of 5129 and 5135 = 26337415
Step 1: Find the prime factorization of 5129
5129 = 23 x 223
Step 2: Find the prime factorization of 5135
5135 = 5 x 13 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26337415 = 5 x 13 x 23 x 79 x 223
Step 4: Therefore, the least common multiple of 5129 and 5135 is 26337415.