Least Common Multiple of 8487 and 8495
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 8495 the smallest integer that is 72097065 that is divisible by both numbers.
Least Common Multiple (LCM) of 8487 and 8495 is 72097065.
LCM(8487,8495) = 72097065
LCM of 8487 and 8495
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8487 and 8495 by Prime method
- Least Common Multiple of 8487 and 8495 with GCF Formula
LCM of 8487 and 8495 is 72097065
Least common multiple can be found by multiplying the highest exponent prime factors of 8487 and 8495. First we will calculate the prime factors of 8487 and 8495.
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 8495
| 5 | 8495 |
| 1699 | 1699 |
| 1 |
Prime factors of 8495 are 5,1699. Prime factorization of 8495 in exponential form is:
8495 = 51×16991
Now multiplying the highest exponent prime factors to calculate the LCM of 8487 and 8495.
LCM(8487,8495) = 32×51×231×411×16991
LCM(8487,8495) = 72097065
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 8495
List of positive integer factors of 8495 that divides 8495 without a remainder.
1, 5, 1699, 8495
Least Common Multiple of 8487 and 8495 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 8495, than apply into the LCM equation.
GCF(8487,8495) = 1
LCM(8487,8495) = ( 8487 × 8495) / 1
LCM(8487,8495) = 72097065 / 1
LCM(8487,8495) = 72097065
Properties of LCM 8487 and 8495
(i) The LCM of 8495 and 8487 is associative
LCM of 8487 and 8495 = LCM of 8495 and 8487
Related Least Common Multiples of 8487
Related Least Common Multiples of 8495
Frequently Asked Questions on LCM of 8487 and 8495
1. What is the LCM of 8487 and 8495?
Answer: LCM of 8487 and 8495 is 72097065.
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 8495?
Answer: Factors of 8495 are 1, 5, 1699, 8495. There are 4 integers that are factors of 8495. The greatest factor of 8495 is 8495.
4. How to Find the LCM of 8487 and 8495?
Answer:
Least Common Multiple of 8487 and 8495 = 72097065
Step 1: Find the prime factorization of 8487
8487 = 3 x 3 x 23 x 41
Step 2: Find the prime factorization of 8495
8495 = 5 x 1699
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72097065 = 3 x 3 x 5 x 23 x 41 x 1699
Step 4: Therefore, the least common multiple of 8487 and 8495 is 72097065.