Least Common Multiple of 8309 and 8313
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8309 and 8313 the smallest integer that is 69072717 that is divisible by both numbers.
Least Common Multiple (LCM) of 8309 and 8313 is 69072717.
LCM(8309,8313) = 69072717
LCM of 8309 and 8313
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8309 and 8313 by Prime method
- Least Common Multiple of 8309 and 8313 with GCF Formula
LCM of 8309 and 8313 is 69072717
Least common multiple can be found by multiplying the highest exponent prime factors of 8309 and 8313. First we will calculate the prime factors of 8309 and 8313.
Prime Factorization of 8309
| 7 | 8309 |
| 1187 | 1187 |
| 1 |
Prime factors of 8309 are 7,1187. Prime factorization of 8309 in exponential form is:
8309 = 71×11871
Prime Factorization of 8313
| 3 | 8313 |
| 17 | 2771 |
| 163 | 163 |
| 1 |
Prime factors of 8313 are 3, 17,163. Prime factorization of 8313 in exponential form is:
8313 = 31×171×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 8309 and 8313.
LCM(8309,8313) = 31×71×171×1631×11871
LCM(8309,8313) = 69072717
Factors of 8309
List of positive integer factors of 8309 that divides 8309 without a remainder.
1, 7, 1187, 8309
Factors of 8313
List of positive integer factors of 8313 that divides 8313 without a remainder.
1, 3, 17, 51, 163, 489, 2771, 8313
Least Common Multiple of 8309 and 8313 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8309 and 8313, than apply into the LCM equation.
GCF(8309,8313) = 1
LCM(8309,8313) = ( 8309 × 8313) / 1
LCM(8309,8313) = 69072717 / 1
LCM(8309,8313) = 69072717
Properties of LCM 8309 and 8313
(i) The LCM of 8313 and 8309 is associative
LCM of 8309 and 8313 = LCM of 8313 and 8309
Related Least Common Multiples of 8309
Related Least Common Multiples of 8313
Frequently Asked Questions on LCM of 8309 and 8313
1. What is the LCM of 8309 and 8313?
Answer: LCM of 8309 and 8313 is 69072717.
2. What are the Factors of 8309?
Answer: Factors of 8309 are 1, 7, 1187, 8309. There are 4 integers that are factors of 8309. The greatest factor of 8309 is 8309.
3. What are the Factors of 8313?
Answer: Factors of 8313 are 1, 3, 17, 51, 163, 489, 2771, 8313. There are 8 integers that are factors of 8313. The greatest factor of 8313 is 8313.
4. How to Find the LCM of 8309 and 8313?
Answer:
Least Common Multiple of 8309 and 8313 = 69072717
Step 1: Find the prime factorization of 8309
8309 = 7 x 1187
Step 2: Find the prime factorization of 8313
8313 = 3 x 17 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69072717 = 3 x 7 x 17 x 163 x 1187
Step 4: Therefore, the least common multiple of 8309 and 8313 is 69072717.