Least Common Multiple of 8823 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 8823 and 8825 the smallest integer that is 77862975 that is divisible by both numbers.
Least Common Multiple (LCM) of 8823 and 8825 is 77862975.
LCM(8823,8825) = 77862975
LCM of 8823 and 8825
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8823 and 8825 by Prime method
- Least Common Multiple of 8823 and 8825 with GCF Formula
LCM of 8823 and 8825 is 77862975
Least common multiple can be found by multiplying the highest exponent prime factors of 8823 and 8825. First we will calculate the prime factors of 8823 and 8825.
Prime Factorization of 8823
| 3 | 8823 |
| 17 | 2941 |
| 173 | 173 |
| 1 |
Prime factors of 8823 are 3, 17,173. Prime factorization of 8823 in exponential form is:
8823 = 31×171×1731
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 8823 and 8825.
LCM(8823,8825) = 31×52×171×1731×3531
LCM(8823,8825) = 77862975
Factors of 8823
List of positive integer factors of 8823 that divides 8823 without a remainder.
1, 3, 17, 51, 173, 519, 2941, 8823
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 8823 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 8823 and 8825, than apply into the LCM equation.
GCF(8823,8825) = 1
LCM(8823,8825) = ( 8823 × 8825) / 1
LCM(8823,8825) = 77862975 / 1
LCM(8823,8825) = 77862975
Properties of LCM 8823 and 8825
(i) The LCM of 8825 and 8823 is associative
LCM of 8823 and 8825 = LCM of 8825 and 8823
Related Least Common Multiples of 8823
Related Least Common Multiples of 8825
Frequently Asked Questions on LCM of 8823 and 8825
1. What is the LCM of 8823 and 8825?
Answer: LCM of 8823 and 8825 is 77862975.
2. What are the Factors of 8823?
Answer: Factors of 8823 are 1, 3, 17, 51, 173, 519, 2941, 8823. There are 8 integers that are factors of 8823. The greatest factor of 8823 is 8823.
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 8823 and 8825?
Answer:
Least Common Multiple of 8823 and 8825 = 77862975
Step 1: Find the prime factorization of 8823
8823 = 3 x 17 x 173
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 = 77862975 = 3 x 5 x 5 x 17 x 173 x 353
Step 4: Therefore, the least common multiple of 8823 and 8825 is 77862975.
