Least Common Multiple of 5017 and 5025
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5017 and 5025 the smallest integer that is 25210425 that is divisible by both numbers.
Least Common Multiple (LCM) of 5017 and 5025 is 25210425.
LCM(5017,5025) = 25210425
LCM of 5017 and 5025
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5017 and 5025 by Prime method
- Least Common Multiple of 5017 and 5025 with GCF Formula
LCM of 5017 and 5025 is 25210425
Least common multiple can be found by multiplying the highest exponent prime factors of 5017 and 5025. First we will calculate the prime factors of 5017 and 5025.
Prime Factorization of 5017
| 29 | 5017 |
| 173 | 173 |
| 1 |
Prime factors of 5017 are 29,173. Prime factorization of 5017 in exponential form is:
5017 = 291×1731
Prime Factorization of 5025
| 3 | 5025 |
| 5 | 1675 |
| 5 | 335 |
| 67 | 67 |
| 1 |
Prime factors of 5025 are 3, 5,67. Prime factorization of 5025 in exponential form is:
5025 = 31×52×671
Now multiplying the highest exponent prime factors to calculate the LCM of 5017 and 5025.
LCM(5017,5025) = 31×52×291×671×1731
LCM(5017,5025) = 25210425
Factors of 5017
List of positive integer factors of 5017 that divides 5017 without a remainder.
1, 29, 173, 5017
Factors of 5025
List of positive integer factors of 5025 that divides 5025 without a remainder.
1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025
Least Common Multiple of 5017 and 5025 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5017 and 5025, than apply into the LCM equation.
GCF(5017,5025) = 1
LCM(5017,5025) = ( 5017 × 5025) / 1
LCM(5017,5025) = 25210425 / 1
LCM(5017,5025) = 25210425
Properties of LCM 5017 and 5025
(i) The LCM of 5025 and 5017 is associative
LCM of 5017 and 5025 = LCM of 5025 and 5017
Related Least Common Multiples of 5017
Related Least Common Multiples of 5025
Frequently Asked Questions on LCM of 5017 and 5025
1. What is the LCM of 5017 and 5025?
Answer: LCM of 5017 and 5025 is 25210425.
2. What are the Factors of 5017?
Answer: Factors of 5017 are 1, 29, 173, 5017. There are 4 integers that are factors of 5017. The greatest factor of 5017 is 5017.
3. What are the Factors of 5025?
Answer: Factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025. There are 12 integers that are factors of 5025. The greatest factor of 5025 is 5025.
4. How to Find the LCM of 5017 and 5025?
Answer:
Least Common Multiple of 5017 and 5025 = 25210425
Step 1: Find the prime factorization of 5017
5017 = 29 x 173
Step 2: Find the prime factorization of 5025
5025 = 3 x 5 x 5 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25210425 = 3 x 5 x 5 x 29 x 67 x 173
Step 4: Therefore, the least common multiple of 5017 and 5025 is 25210425.