Least Common Multiple of 10309 and 10317
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10309 and 10317 the smallest integer that is 106357953 that is divisible by both numbers.
Least Common Multiple (LCM) of 10309 and 10317 is 106357953.
LCM(10309,10317) = 106357953
LCM of 10309 and 10317
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10309 and 10317 by Prime method
- Least Common Multiple of 10309 and 10317 with GCF Formula
LCM of 10309 and 10317 is 106357953
Least common multiple can be found by multiplying the highest exponent prime factors of 10309 and 10317. First we will calculate the prime factors of 10309 and 10317.
Prime Factorization of 10309
| 13 | 10309 |
| 13 | 793 |
| 61 | 61 |
| 1 |
Prime factors of 10309 are 13,61. Prime factorization of 10309 in exponential form is:
10309 = 132×611
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
Now multiplying the highest exponent prime factors to calculate the LCM of 10309 and 10317.
LCM(10309,10317) = 31×132×191×611×1811
LCM(10309,10317) = 106357953
Factors of 10309
List of positive integer factors of 10309 that divides 10309 without a remainder.
1, 13, 61, 169, 793, 10309
Factors of 10317
List of positive integer factors of 10317 that divides 10317 without a remainder.
1, 3, 19, 57, 181, 543, 3439, 10317
Least Common Multiple of 10309 and 10317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10309 and 10317, than apply into the LCM equation.
GCF(10309,10317) = 1
LCM(10309,10317) = ( 10309 × 10317) / 1
LCM(10309,10317) = 106357953 / 1
LCM(10309,10317) = 106357953
Properties of LCM 10309 and 10317
(i) The LCM of 10317 and 10309 is associative
LCM of 10309 and 10317 = LCM of 10317 and 10309
Related Least Common Multiples of 10309
Related Least Common Multiples of 10317
Frequently Asked Questions on LCM of 10309 and 10317
1. What is the LCM of 10309 and 10317?
Answer: LCM of 10309 and 10317 is 106357953.
2. What are the Factors of 10309?
Answer: Factors of 10309 are 1, 13, 61, 169, 793, 10309. There are 6 integers that are factors of 10309. The greatest factor of 10309 is 10309.
3. 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.
4. How to Find the LCM of 10309 and 10317?
Answer:
Least Common Multiple of 10309 and 10317 = 106357953
Step 1: Find the prime factorization of 10309
10309 = 13 x 13 x 61
Step 2: Find the prime factorization of 10317
10317 = 3 x 19 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106357953 = 3 x 13 x 13 x 19 x 61 x 181
Step 4: Therefore, the least common multiple of 10309 and 10317 is 106357953.