Least Common Multiple of 10317 and 10321
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 10321 the smallest integer that is 106481757 that is divisible by both numbers.
Least Common Multiple (LCM) of 10317 and 10321 is 106481757.
LCM(10317,10321) = 106481757
LCM of 10317 and 10321
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10317 and 10321 by Prime method
- Least Common Multiple of 10317 and 10321 with GCF Formula
LCM of 10317 and 10321 is 106481757
Least common multiple can be found by multiplying the highest exponent prime factors of 10317 and 10321. First we will calculate the prime factors of 10317 and 10321.
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 10321
| 10321 | 10321 |
| 1 |
Prime factors of 10321 are 10321. Prime factorization of 10321 in exponential form is:
10321 = 103211
Now multiplying the highest exponent prime factors to calculate the LCM of 10317 and 10321.
LCM(10317,10321) = 31×191×1811×103211
LCM(10317,10321) = 106481757
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 10321
List of positive integer factors of 10321 that divides 10321 without a remainder.
1, 10321
Least Common Multiple of 10317 and 10321 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 10321, than apply into the LCM equation.
GCF(10317,10321) = 1
LCM(10317,10321) = ( 10317 × 10321) / 1
LCM(10317,10321) = 106481757 / 1
LCM(10317,10321) = 106481757
Properties of LCM 10317 and 10321
(i) The LCM of 10321 and 10317 is associative
LCM of 10317 and 10321 = LCM of 10321 and 10317
Related Least Common Multiples of 10317
Related Least Common Multiples of 10321
Frequently Asked Questions on LCM of 10317 and 10321
1. What is the LCM of 10317 and 10321?
Answer: LCM of 10317 and 10321 is 106481757.
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 10321?
Answer: Factors of 10321 are 1, 10321. There are 2 integers that are factors of 10321. The greatest factor of 10321 is 10321.
4. How to Find the LCM of 10317 and 10321?
Answer:
Least Common Multiple of 10317 and 10321 = 106481757
Step 1: Find the prime factorization of 10317
10317 = 3 x 19 x 181
Step 2: Find the prime factorization of 10321
10321 = 10321
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106481757 = 3 x 19 x 181 x 10321
Step 4: Therefore, the least common multiple of 10317 and 10321 is 106481757.