Least Common Multiple of 8817 and 8825
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8817 and 8825 the smallest integer that is 77810025 that is divisible by both numbers.
Least Common Multiple (LCM) of 8817 and 8825 is 77810025.
LCM(8817,8825) = 77810025
LCM of 8817 and 8825
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8817 and 8825 by Prime method
- Least Common Multiple of 8817 and 8825 with GCF Formula
LCM of 8817 and 8825 is 77810025
Least common multiple can be found by multiplying the highest exponent prime factors of 8817 and 8825. First we will calculate the prime factors of 8817 and 8825.
Prime Factorization of 8817
| 3 | 8817 |
| 2939 | 2939 |
| 1 |
Prime factors of 8817 are 3,2939. Prime factorization of 8817 in exponential form is:
8817 = 31×29391
Prime Factorization of 8825
| 5 | 8825 |
| 5 | 1765 |
| 353 | 353 |
| 1 |
Prime factors of 8825 are 5,353. Prime factorization of 8825 in exponential form is:
8825 = 52×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 8817 and 8825.
LCM(8817,8825) = 31×52×3531×29391
LCM(8817,8825) = 77810025
Factors of 8817
List of positive integer factors of 8817 that divides 8817 without a remainder.
1, 3, 2939, 8817
Factors of 8825
List of positive integer factors of 8825 that divides 8825 without a remainder.
1, 5, 25, 353, 1765, 8825
Least Common Multiple of 8817 and 8825 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8817 and 8825, than apply into the LCM equation.
GCF(8817,8825) = 1
LCM(8817,8825) = ( 8817 × 8825) / 1
LCM(8817,8825) = 77810025 / 1
LCM(8817,8825) = 77810025
Properties of LCM 8817 and 8825
(i) The LCM of 8825 and 8817 is associative
LCM of 8817 and 8825 = LCM of 8825 and 8817
Related Least Common Multiples of 8817
Related Least Common Multiples of 8825
Frequently Asked Questions on LCM of 8817 and 8825
1. What is the LCM of 8817 and 8825?
Answer: LCM of 8817 and 8825 is 77810025.
2. What are the Factors of 8817?
Answer: Factors of 8817 are 1, 3, 2939, 8817. There are 4 integers that are factors of 8817. The greatest factor of 8817 is 8817.
3. What are the Factors of 8825?
Answer: Factors of 8825 are 1, 5, 25, 353, 1765, 8825. There are 6 integers that are factors of 8825. The greatest factor of 8825 is 8825.
4. How to Find the LCM of 8817 and 8825?
Answer:
Least Common Multiple of 8817 and 8825 = 77810025
Step 1: Find the prime factorization of 8817
8817 = 3 x 2939
Step 2: Find the prime factorization of 8825
8825 = 5 x 5 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77810025 = 3 x 5 x 5 x 353 x 2939
Step 4: Therefore, the least common multiple of 8817 and 8825 is 77810025.