Least Common Multiple of 8809 and 8815
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8809 and 8815 the smallest integer that is 77651335 that is divisible by both numbers.
Least Common Multiple (LCM) of 8809 and 8815 is 77651335.
LCM(8809,8815) = 77651335
LCM of 8809 and 8815
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8809 and 8815 by Prime method
- Least Common Multiple of 8809 and 8815 with GCF Formula
LCM of 8809 and 8815 is 77651335
Least common multiple can be found by multiplying the highest exponent prime factors of 8809 and 8815. First we will calculate the prime factors of 8809 and 8815.
Prime Factorization of 8809
| 23 | 8809 |
| 383 | 383 |
| 1 |
Prime factors of 8809 are 23,383. Prime factorization of 8809 in exponential form is:
8809 = 231×3831
Prime Factorization of 8815
| 5 | 8815 |
| 41 | 1763 |
| 43 | 43 |
| 1 |
Prime factors of 8815 are 5, 41,43. Prime factorization of 8815 in exponential form is:
8815 = 51×411×431
Now multiplying the highest exponent prime factors to calculate the LCM of 8809 and 8815.
LCM(8809,8815) = 51×231×411×431×3831
LCM(8809,8815) = 77651335
Factors of 8809
List of positive integer factors of 8809 that divides 8809 without a remainder.
1, 23, 383, 8809
Factors of 8815
List of positive integer factors of 8815 that divides 8815 without a remainder.
1, 5, 41, 43, 205, 215, 1763, 8815
Least Common Multiple of 8809 and 8815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8809 and 8815, than apply into the LCM equation.
GCF(8809,8815) = 1
LCM(8809,8815) = ( 8809 × 8815) / 1
LCM(8809,8815) = 77651335 / 1
LCM(8809,8815) = 77651335
Properties of LCM 8809 and 8815
(i) The LCM of 8815 and 8809 is associative
LCM of 8809 and 8815 = LCM of 8815 and 8809
Related Least Common Multiples of 8809
Related Least Common Multiples of 8815
Frequently Asked Questions on LCM of 8809 and 8815
1. What is the LCM of 8809 and 8815?
Answer: LCM of 8809 and 8815 is 77651335.
2. What are the Factors of 8809?
Answer: Factors of 8809 are 1, 23, 383, 8809. There are 4 integers that are factors of 8809. The greatest factor of 8809 is 8809.
3. What are the Factors of 8815?
Answer: Factors of 8815 are 1, 5, 41, 43, 205, 215, 1763, 8815. There are 8 integers that are factors of 8815. The greatest factor of 8815 is 8815.
4. How to Find the LCM of 8809 and 8815?
Answer:
Least Common Multiple of 8809 and 8815 = 77651335
Step 1: Find the prime factorization of 8809
8809 = 23 x 383
Step 2: Find the prime factorization of 8815
8815 = 5 x 41 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77651335 = 5 x 23 x 41 x 43 x 383
Step 4: Therefore, the least common multiple of 8809 and 8815 is 77651335.