Least Common Multiple of 8815 and 8821
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8815 and 8821 the smallest integer that is 77757115 that is divisible by both numbers.
Least Common Multiple (LCM) of 8815 and 8821 is 77757115.
LCM(8815,8821) = 77757115
LCM of 8815 and 8821
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8815 and 8821 by Prime method
- Least Common Multiple of 8815 and 8821 with GCF Formula
LCM of 8815 and 8821 is 77757115
Least common multiple can be found by multiplying the highest exponent prime factors of 8815 and 8821. First we will calculate the prime factors of 8815 and 8821.
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
Prime Factorization of 8821
| 8821 | 8821 |
| 1 |
Prime factors of 8821 are 8821. Prime factorization of 8821 in exponential form is:
8821 = 88211
Now multiplying the highest exponent prime factors to calculate the LCM of 8815 and 8821.
LCM(8815,8821) = 51×411×431×88211
LCM(8815,8821) = 77757115
Factors of 8815
List of positive integer factors of 8815 that divides 8815 without a remainder.
1, 5, 41, 43, 205, 215, 1763, 8815
Factors of 8821
List of positive integer factors of 8821 that divides 8821 without a remainder.
1, 8821
Least Common Multiple of 8815 and 8821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8815 and 8821, than apply into the LCM equation.
GCF(8815,8821) = 1
LCM(8815,8821) = ( 8815 × 8821) / 1
LCM(8815,8821) = 77757115 / 1
LCM(8815,8821) = 77757115
Properties of LCM 8815 and 8821
(i) The LCM of 8821 and 8815 is associative
LCM of 8815 and 8821 = LCM of 8821 and 8815
Related Least Common Multiples of 8815
Related Least Common Multiples of 8821
Frequently Asked Questions on LCM of 8815 and 8821
1. What is the LCM of 8815 and 8821?
Answer: LCM of 8815 and 8821 is 77757115.
2. 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.
3. What are the Factors of 8821?
Answer: Factors of 8821 are 1, 8821. There are 2 integers that are factors of 8821. The greatest factor of 8821 is 8821.
4. How to Find the LCM of 8815 and 8821?
Answer:
Least Common Multiple of 8815 and 8821 = 77757115
Step 1: Find the prime factorization of 8815
8815 = 5 x 41 x 43
Step 2: Find the prime factorization of 8821
8821 = 8821
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77757115 = 5 x 41 x 43 x 8821
Step 4: Therefore, the least common multiple of 8815 and 8821 is 77757115.