Least Common Multiple of 5129 and 5133
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 5133 the smallest integer that is 26327157 that is divisible by both numbers.
Least Common Multiple (LCM) of 5129 and 5133 is 26327157.
LCM(5129,5133) = 26327157
LCM of 5129 and 5133
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5129 and 5133 by Prime method
- Least Common Multiple of 5129 and 5133 with GCF Formula
LCM of 5129 and 5133 is 26327157
Least common multiple can be found by multiplying the highest exponent prime factors of 5129 and 5133. First we will calculate the prime factors of 5129 and 5133.
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 5133
| 3 | 5133 |
| 29 | 1711 |
| 59 | 59 |
| 1 |
Prime factors of 5133 are 3, 29,59. Prime factorization of 5133 in exponential form is:
5133 = 31×291×591
Now multiplying the highest exponent prime factors to calculate the LCM of 5129 and 5133.
LCM(5129,5133) = 31×231×291×591×2231
LCM(5129,5133) = 26327157
Factors of 5129
List of positive integer factors of 5129 that divides 5129 without a remainder.
1, 23, 223, 5129
Factors of 5133
List of positive integer factors of 5133 that divides 5133 without a remainder.
1, 3, 29, 59, 87, 177, 1711, 5133
Least Common Multiple of 5129 and 5133 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 5133, than apply into the LCM equation.
GCF(5129,5133) = 1
LCM(5129,5133) = ( 5129 × 5133) / 1
LCM(5129,5133) = 26327157 / 1
LCM(5129,5133) = 26327157
Properties of LCM 5129 and 5133
(i) The LCM of 5133 and 5129 is associative
LCM of 5129 and 5133 = LCM of 5133 and 5129
Related Least Common Multiples of 5129
Related Least Common Multiples of 5133
Frequently Asked Questions on LCM of 5129 and 5133
1. What is the LCM of 5129 and 5133?
Answer: LCM of 5129 and 5133 is 26327157.
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 5133?
Answer: Factors of 5133 are 1, 3, 29, 59, 87, 177, 1711, 5133. There are 8 integers that are factors of 5133. The greatest factor of 5133 is 5133.
4. How to Find the LCM of 5129 and 5133?
Answer:
Least Common Multiple of 5129 and 5133 = 26327157
Step 1: Find the prime factorization of 5129
5129 = 23 x 223
Step 2: Find the prime factorization of 5133
5133 = 3 x 29 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26327157 = 3 x 23 x 29 x 59 x 223
Step 4: Therefore, the least common multiple of 5129 and 5133 is 26327157.