Least Common Multiple of 8483 and 8487
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8483 and 8487 the smallest integer that is 71995221 that is divisible by both numbers.
Least Common Multiple (LCM) of 8483 and 8487 is 71995221.
LCM(8483,8487) = 71995221
LCM of 8483 and 8487
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8483 and 8487 by Prime method
- Least Common Multiple of 8483 and 8487 with GCF Formula
LCM of 8483 and 8487 is 71995221
Least common multiple can be found by multiplying the highest exponent prime factors of 8483 and 8487. First we will calculate the prime factors of 8483 and 8487.
Prime Factorization of 8483
| 17 | 8483 |
| 499 | 499 |
| 1 |
Prime factors of 8483 are 17,499. Prime factorization of 8483 in exponential form is:
8483 = 171×4991
Prime Factorization of 8487
| 3 | 8487 |
| 3 | 2829 |
| 23 | 943 |
| 41 | 41 |
| 1 |
Prime factors of 8487 are 3, 23,41. Prime factorization of 8487 in exponential form is:
8487 = 32×231×411
Now multiplying the highest exponent prime factors to calculate the LCM of 8483 and 8487.
LCM(8483,8487) = 32×171×231×411×4991
LCM(8483,8487) = 71995221
Factors of 8483
List of positive integer factors of 8483 that divides 8483 without a remainder.
1, 17, 499, 8483
Factors of 8487
List of positive integer factors of 8487 that divides 8487 without a remainder.
1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487
Least Common Multiple of 8483 and 8487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8483 and 8487, than apply into the LCM equation.
GCF(8483,8487) = 1
LCM(8483,8487) = ( 8483 × 8487) / 1
LCM(8483,8487) = 71995221 / 1
LCM(8483,8487) = 71995221
Properties of LCM 8483 and 8487
(i) The LCM of 8487 and 8483 is associative
LCM of 8483 and 8487 = LCM of 8487 and 8483
Related Least Common Multiples of 8483
Related Least Common Multiples of 8487
Frequently Asked Questions on LCM of 8483 and 8487
1. What is the LCM of 8483 and 8487?
Answer: LCM of 8483 and 8487 is 71995221.
2. What are the Factors of 8483?
Answer: Factors of 8483 are 1, 17, 499, 8483. There are 4 integers that are factors of 8483. The greatest factor of 8483 is 8483.
3. What are the Factors of 8487?
Answer: Factors of 8487 are 1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487. There are 12 integers that are factors of 8487. The greatest factor of 8487 is 8487.
4. How to Find the LCM of 8483 and 8487?
Answer:
Least Common Multiple of 8483 and 8487 = 71995221
Step 1: Find the prime factorization of 8483
8483 = 17 x 499
Step 2: Find the prime factorization of 8487
8487 = 3 x 3 x 23 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71995221 = 3 x 3 x 17 x 23 x 41 x 499
Step 4: Therefore, the least common multiple of 8483 and 8487 is 71995221.