Least Common Multiple of 5117 and 5125
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5117 and 5125 the smallest integer that is 26224625 that is divisible by both numbers.
Least Common Multiple (LCM) of 5117 and 5125 is 26224625.
LCM(5117,5125) = 26224625
LCM of 5117 and 5125
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5117 and 5125 by Prime method
- Least Common Multiple of 5117 and 5125 with GCF Formula
LCM of 5117 and 5125 is 26224625
Least common multiple can be found by multiplying the highest exponent prime factors of 5117 and 5125. First we will calculate the prime factors of 5117 and 5125.
Prime Factorization of 5117
| 7 | 5117 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 5117 are 7, 17,43. Prime factorization of 5117 in exponential form is:
5117 = 71×171×431
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5117 and 5125.
LCM(5117,5125) = 53×71×171×411×431
LCM(5117,5125) = 26224625
Factors of 5117
List of positive integer factors of 5117 that divides 5117 without a remainder.
1, 7, 17, 43, 119, 301, 731, 5117
Factors of 5125
List of positive integer factors of 5125 that divides 5125 without a remainder.
1, 5, 25, 41, 125, 205, 1025, 5125
Least Common Multiple of 5117 and 5125 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5117 and 5125, than apply into the LCM equation.
GCF(5117,5125) = 1
LCM(5117,5125) = ( 5117 × 5125) / 1
LCM(5117,5125) = 26224625 / 1
LCM(5117,5125) = 26224625
Properties of LCM 5117 and 5125
(i) The LCM of 5125 and 5117 is associative
LCM of 5117 and 5125 = LCM of 5125 and 5117
Related Least Common Multiples of 5117
Related Least Common Multiples of 5125
Frequently Asked Questions on LCM of 5117 and 5125
1. What is the LCM of 5117 and 5125?
Answer: LCM of 5117 and 5125 is 26224625.
2. What are the Factors of 5117?
Answer: Factors of 5117 are 1, 7, 17, 43, 119, 301, 731, 5117. There are 8 integers that are factors of 5117. The greatest factor of 5117 is 5117.
3. 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.
4. How to Find the LCM of 5117 and 5125?
Answer:
Least Common Multiple of 5117 and 5125 = 26224625
Step 1: Find the prime factorization of 5117
5117 = 7 x 17 x 43
Step 2: Find the prime factorization of 5125
5125 = 5 x 5 x 5 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26224625 = 5 x 5 x 5 x 7 x 17 x 41 x 43
Step 4: Therefore, the least common multiple of 5117 and 5125 is 26224625.