Least Common Multiple of 8811 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 8811 and 8815 the smallest integer that is 77668965 that is divisible by both numbers.
Least Common Multiple (LCM) of 8811 and 8815 is 77668965.
LCM(8811,8815) = 77668965
LCM of 8811 and 8815
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8811 and 8815 by Prime method
- Least Common Multiple of 8811 and 8815 with GCF Formula
LCM of 8811 and 8815 is 77668965
Least common multiple can be found by multiplying the highest exponent prime factors of 8811 and 8815. First we will calculate the prime factors of 8811 and 8815.
Prime Factorization of 8811
| 3 | 8811 |
| 3 | 2937 |
| 11 | 979 |
| 89 | 89 |
| 1 |
Prime factors of 8811 are 3, 11,89. Prime factorization of 8811 in exponential form is:
8811 = 32×111×891
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 8811 and 8815.
LCM(8811,8815) = 32×51×111×411×431×891
LCM(8811,8815) = 77668965
Factors of 8811
List of positive integer factors of 8811 that divides 8811 without a remainder.
1, 3, 9, 11, 33, 89, 99, 267, 801, 979, 2937, 8811
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 8811 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 8811 and 8815, than apply into the LCM equation.
GCF(8811,8815) = 1
LCM(8811,8815) = ( 8811 × 8815) / 1
LCM(8811,8815) = 77668965 / 1
LCM(8811,8815) = 77668965
Properties of LCM 8811 and 8815
(i) The LCM of 8815 and 8811 is associative
LCM of 8811 and 8815 = LCM of 8815 and 8811
Related Least Common Multiples of 8811
Related Least Common Multiples of 8815
Frequently Asked Questions on LCM of 8811 and 8815
1. What is the LCM of 8811 and 8815?
Answer: LCM of 8811 and 8815 is 77668965.
2. What are the Factors of 8811?
Answer: Factors of 8811 are 1, 3, 9, 11, 33, 89, 99, 267, 801, 979, 2937, 8811. There are 12 integers that are factors of 8811. The greatest factor of 8811 is 8811.
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 8811 and 8815?
Answer:
Least Common Multiple of 8811 and 8815 = 77668965
Step 1: Find the prime factorization of 8811
8811 = 3 x 3 x 11 x 89
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 = 77668965 = 3 x 3 x 5 x 11 x 41 x 43 x 89
Step 4: Therefore, the least common multiple of 8811 and 8815 is 77668965.