Least Common Multiple of 8822 and 8827
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8822 and 8827 the smallest integer that is 77871794 that is divisible by both numbers.
Least Common Multiple (LCM) of 8822 and 8827 is 77871794.
LCM(8822,8827) = 77871794
LCM of 8822 and 8827
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8822 and 8827 by Prime method
- Least Common Multiple of 8822 and 8827 with GCF Formula
LCM of 8822 and 8827 is 77871794
Least common multiple can be found by multiplying the highest exponent prime factors of 8822 and 8827. First we will calculate the prime factors of 8822 and 8827.
Prime Factorization of 8822
| 2 | 8822 |
| 11 | 4411 |
| 401 | 401 |
| 1 |
Prime factors of 8822 are 2, 11,401. Prime factorization of 8822 in exponential form is:
8822 = 21×111×4011
Prime Factorization of 8827
| 7 | 8827 |
| 13 | 1261 |
| 97 | 97 |
| 1 |
Prime factors of 8827 are 7, 13,97. Prime factorization of 8827 in exponential form is:
8827 = 71×131×971
Now multiplying the highest exponent prime factors to calculate the LCM of 8822 and 8827.
LCM(8822,8827) = 21×71×111×131×971×4011
LCM(8822,8827) = 77871794
Factors of 8822
List of positive integer factors of 8822 that divides 8822 without a remainder.
1, 2, 11, 22, 401, 802, 4411, 8822
Factors of 8827
List of positive integer factors of 8827 that divides 8827 without a remainder.
1, 7, 13, 91, 97, 679, 1261, 8827
Least Common Multiple of 8822 and 8827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8822 and 8827, than apply into the LCM equation.
GCF(8822,8827) = 1
LCM(8822,8827) = ( 8822 × 8827) / 1
LCM(8822,8827) = 77871794 / 1
LCM(8822,8827) = 77871794
Properties of LCM 8822 and 8827
(i) The LCM of 8827 and 8822 is associative
LCM of 8822 and 8827 = LCM of 8827 and 8822
Related Least Common Multiples of 8822
Related Least Common Multiples of 8827
Frequently Asked Questions on LCM of 8822 and 8827
1. What is the LCM of 8822 and 8827?
Answer: LCM of 8822 and 8827 is 77871794.
2. What are the Factors of 8822?
Answer: Factors of 8822 are 1, 2, 11, 22, 401, 802, 4411, 8822. There are 8 integers that are factors of 8822. The greatest factor of 8822 is 8822.
3. What are the Factors of 8827?
Answer: Factors of 8827 are 1, 7, 13, 91, 97, 679, 1261, 8827. There are 8 integers that are factors of 8827. The greatest factor of 8827 is 8827.
4. How to Find the LCM of 8822 and 8827?
Answer:
Least Common Multiple of 8822 and 8827 = 77871794
Step 1: Find the prime factorization of 8822
8822 = 2 x 11 x 401
Step 2: Find the prime factorization of 8827
8827 = 7 x 13 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77871794 = 2 x 7 x 11 x 13 x 97 x 401
Step 4: Therefore, the least common multiple of 8822 and 8827 is 77871794.