Least Common Multiple of 5125 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 5125 and 5133 the smallest integer that is 26306625 that is divisible by both numbers.
Least Common Multiple (LCM) of 5125 and 5133 is 26306625.
LCM(5125,5133) = 26306625
LCM of 5125 and 5133
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5125 and 5133 by Prime method
- Least Common Multiple of 5125 and 5133 with GCF Formula
LCM of 5125 and 5133 is 26306625
Least common multiple can be found by multiplying the highest exponent prime factors of 5125 and 5133. First we will calculate the prime factors of 5125 and 5133.
Prime Factorization of 5125
| 5 | 5125 |
| 5 | 1025 |
| 5 | 205 |
| 41 | 41 |
| 1 |
Prime factors of 5125 are 5,41. Prime factorization of 5125 in exponential form is:
5125 = 53×411
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 5125 and 5133.
LCM(5125,5133) = 31×53×291×411×591
LCM(5125,5133) = 26306625
Factors of 5125
List of positive integer factors of 5125 that divides 5125 without a remainder.
1, 5, 25, 41, 125, 205, 1025, 5125
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 5125 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 5125 and 5133, than apply into the LCM equation.
GCF(5125,5133) = 1
LCM(5125,5133) = ( 5125 × 5133) / 1
LCM(5125,5133) = 26306625 / 1
LCM(5125,5133) = 26306625
Properties of LCM 5125 and 5133
(i) The LCM of 5133 and 5125 is associative
LCM of 5125 and 5133 = LCM of 5133 and 5125
Related Least Common Multiples of 5125
Related Least Common Multiples of 5133
Frequently Asked Questions on LCM of 5125 and 5133
1. What is the LCM of 5125 and 5133?
Answer: LCM of 5125 and 5133 is 26306625.
2. What are the Factors of 5125?
Answer: Factors of 5125 are 1, 5, 25, 41, 125, 205, 1025, 5125. There are 8 integers that are factors of 5125. The greatest factor of 5125 is 5125.
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 5125 and 5133?
Answer:
Least Common Multiple of 5125 and 5133 = 26306625
Step 1: Find the prime factorization of 5125
5125 = 5 x 5 x 5 x 41
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 = 26306625 = 3 x 5 x 5 x 5 x 29 x 41 x 59
Step 4: Therefore, the least common multiple of 5125 and 5133 is 26306625.