Least Common Multiple of 8487 and 8491
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8487 and 8491 the smallest integer that is 72063117 that is divisible by both numbers.
Least Common Multiple (LCM) of 8487 and 8491 is 72063117.
LCM(8487,8491) = 72063117
LCM of 8487 and 8491
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8487 and 8491 by Prime method
- Least Common Multiple of 8487 and 8491 with GCF Formula
LCM of 8487 and 8491 is 72063117
Least common multiple can be found by multiplying the highest exponent prime factors of 8487 and 8491. First we will calculate the prime factors of 8487 and 8491.
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
Prime Factorization of 8491
| 7 | 8491 |
| 1213 | 1213 |
| 1 |
Prime factors of 8491 are 7,1213. Prime factorization of 8491 in exponential form is:
8491 = 71×12131
Now multiplying the highest exponent prime factors to calculate the LCM of 8487 and 8491.
LCM(8487,8491) = 32×71×231×411×12131
LCM(8487,8491) = 72063117
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
Factors of 8491
List of positive integer factors of 8491 that divides 8491 without a remainder.
1, 7, 1213, 8491
Least Common Multiple of 8487 and 8491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8487 and 8491, than apply into the LCM equation.
GCF(8487,8491) = 1
LCM(8487,8491) = ( 8487 × 8491) / 1
LCM(8487,8491) = 72063117 / 1
LCM(8487,8491) = 72063117
Properties of LCM 8487 and 8491
(i) The LCM of 8491 and 8487 is associative
LCM of 8487 and 8491 = LCM of 8491 and 8487
Related Least Common Multiples of 8487
Related Least Common Multiples of 8491
Frequently Asked Questions on LCM of 8487 and 8491
1. What is the LCM of 8487 and 8491?
Answer: LCM of 8487 and 8491 is 72063117.
2. 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.
3. What are the Factors of 8491?
Answer: Factors of 8491 are 1, 7, 1213, 8491. There are 4 integers that are factors of 8491. The greatest factor of 8491 is 8491.
4. How to Find the LCM of 8487 and 8491?
Answer:
Least Common Multiple of 8487 and 8491 = 72063117
Step 1: Find the prime factorization of 8487
8487 = 3 x 3 x 23 x 41
Step 2: Find the prime factorization of 8491
8491 = 7 x 1213
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72063117 = 3 x 3 x 7 x 23 x 41 x 1213
Step 4: Therefore, the least common multiple of 8487 and 8491 is 72063117.