Least Common Multiple of 10317 and 10325
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10317 and 10325 the smallest integer that is 106523025 that is divisible by both numbers.
Least Common Multiple (LCM) of 10317 and 10325 is 106523025.
LCM(10317,10325) = 106523025
LCM of 10317 and 10325
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10317 and 10325 by Prime method
- Least Common Multiple of 10317 and 10325 with GCF Formula
LCM of 10317 and 10325 is 106523025
Least common multiple can be found by multiplying the highest exponent prime factors of 10317 and 10325. First we will calculate the prime factors of 10317 and 10325.
Prime Factorization of 10317
| 3 | 10317 |
| 19 | 3439 |
| 181 | 181 |
| 1 |
Prime factors of 10317 are 3, 19,181. Prime factorization of 10317 in exponential form is:
10317 = 31×191×1811
Prime Factorization of 10325
| 5 | 10325 |
| 5 | 2065 |
| 7 | 413 |
| 59 | 59 |
| 1 |
Prime factors of 10325 are 5, 7,59. Prime factorization of 10325 in exponential form is:
10325 = 52×71×591
Now multiplying the highest exponent prime factors to calculate the LCM of 10317 and 10325.
LCM(10317,10325) = 31×52×71×191×591×1811
LCM(10317,10325) = 106523025
Factors of 10317
List of positive integer factors of 10317 that divides 10317 without a remainder.
1, 3, 19, 57, 181, 543, 3439, 10317
Factors of 10325
List of positive integer factors of 10325 that divides 10325 without a remainder.
1, 5, 7, 25, 35, 59, 175, 295, 413, 1475, 2065, 10325
Least Common Multiple of 10317 and 10325 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10317 and 10325, than apply into the LCM equation.
GCF(10317,10325) = 1
LCM(10317,10325) = ( 10317 × 10325) / 1
LCM(10317,10325) = 106523025 / 1
LCM(10317,10325) = 106523025
Properties of LCM 10317 and 10325
(i) The LCM of 10325 and 10317 is associative
LCM of 10317 and 10325 = LCM of 10325 and 10317
Related Least Common Multiples of 10317
Related Least Common Multiples of 10325
Frequently Asked Questions on LCM of 10317 and 10325
1. What is the LCM of 10317 and 10325?
Answer: LCM of 10317 and 10325 is 106523025.
2. What are the Factors of 10317?
Answer: Factors of 10317 are 1, 3, 19, 57, 181, 543, 3439, 10317. There are 8 integers that are factors of 10317. The greatest factor of 10317 is 10317.
3. What are the Factors of 10325?
Answer: Factors of 10325 are 1, 5, 7, 25, 35, 59, 175, 295, 413, 1475, 2065, 10325. There are 12 integers that are factors of 10325. The greatest factor of 10325 is 10325.
4. How to Find the LCM of 10317 and 10325?
Answer:
Least Common Multiple of 10317 and 10325 = 106523025
Step 1: Find the prime factorization of 10317
10317 = 3 x 19 x 181
Step 2: Find the prime factorization of 10325
10325 = 5 x 5 x 7 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 = 106523025 = 3 x 5 x 5 x 7 x 19 x 59 x 181
Step 4: Therefore, the least common multiple of 10317 and 10325 is 106523025.