Least Common Multiple of 8683 and 8687
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8683 and 8687 the smallest integer that is 75429221 that is divisible by both numbers.
Least Common Multiple (LCM) of 8683 and 8687 is 75429221.
LCM(8683,8687) = 75429221
LCM of 8683 and 8687
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8683 and 8687 by Prime method
- Least Common Multiple of 8683 and 8687 with GCF Formula
LCM of 8683 and 8687 is 75429221
Least common multiple can be found by multiplying the highest exponent prime factors of 8683 and 8687. First we will calculate the prime factors of 8683 and 8687.
Prime Factorization of 8683
| 19 | 8683 |
| 457 | 457 |
| 1 |
Prime factors of 8683 are 19,457. Prime factorization of 8683 in exponential form is:
8683 = 191×4571
Prime Factorization of 8687
| 7 | 8687 |
| 17 | 1241 |
| 73 | 73 |
| 1 |
Prime factors of 8687 are 7, 17,73. Prime factorization of 8687 in exponential form is:
8687 = 71×171×731
Now multiplying the highest exponent prime factors to calculate the LCM of 8683 and 8687.
LCM(8683,8687) = 71×171×191×731×4571
LCM(8683,8687) = 75429221
Factors of 8683
List of positive integer factors of 8683 that divides 8683 without a remainder.
1, 19, 457, 8683
Factors of 8687
List of positive integer factors of 8687 that divides 8687 without a remainder.
1, 7, 17, 73, 119, 511, 1241, 8687
Least Common Multiple of 8683 and 8687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8683 and 8687, than apply into the LCM equation.
GCF(8683,8687) = 1
LCM(8683,8687) = ( 8683 × 8687) / 1
LCM(8683,8687) = 75429221 / 1
LCM(8683,8687) = 75429221
Properties of LCM 8683 and 8687
(i) The LCM of 8687 and 8683 is associative
LCM of 8683 and 8687 = LCM of 8687 and 8683
Related Least Common Multiples of 8683
Related Least Common Multiples of 8687
Frequently Asked Questions on LCM of 8683 and 8687
1. What is the LCM of 8683 and 8687?
Answer: LCM of 8683 and 8687 is 75429221.
2. What are the Factors of 8683?
Answer: Factors of 8683 are 1, 19, 457, 8683. There are 4 integers that are factors of 8683. The greatest factor of 8683 is 8683.
3. What are the Factors of 8687?
Answer: Factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687. There are 8 integers that are factors of 8687. The greatest factor of 8687 is 8687.
4. How to Find the LCM of 8683 and 8687?
Answer:
Least Common Multiple of 8683 and 8687 = 75429221
Step 1: Find the prime factorization of 8683
8683 = 19 x 457
Step 2: Find the prime factorization of 8687
8687 = 7 x 17 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75429221 = 7 x 17 x 19 x 73 x 457
Step 4: Therefore, the least common multiple of 8683 and 8687 is 75429221.