Least Common Multiple of 8827 and 8833
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8827 and 8833 the smallest integer that is 77968891 that is divisible by both numbers.
Least Common Multiple (LCM) of 8827 and 8833 is 77968891.
LCM(8827,8833) = 77968891
LCM of 8827 and 8833
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8827 and 8833 by Prime method
- Least Common Multiple of 8827 and 8833 with GCF Formula
LCM of 8827 and 8833 is 77968891
Least common multiple can be found by multiplying the highest exponent prime factors of 8827 and 8833. First we will calculate the prime factors of 8827 and 8833.
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
Prime Factorization of 8833
| 11 | 8833 |
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 8833 are 11,73. Prime factorization of 8833 in exponential form is:
8833 = 112×731
Now multiplying the highest exponent prime factors to calculate the LCM of 8827 and 8833.
LCM(8827,8833) = 71×112×131×731×971
LCM(8827,8833) = 77968891
Factors of 8827
List of positive integer factors of 8827 that divides 8827 without a remainder.
1, 7, 13, 91, 97, 679, 1261, 8827
Factors of 8833
List of positive integer factors of 8833 that divides 8833 without a remainder.
1, 11, 73, 121, 803, 8833
Least Common Multiple of 8827 and 8833 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8827 and 8833, than apply into the LCM equation.
GCF(8827,8833) = 1
LCM(8827,8833) = ( 8827 × 8833) / 1
LCM(8827,8833) = 77968891 / 1
LCM(8827,8833) = 77968891
Properties of LCM 8827 and 8833
(i) The LCM of 8833 and 8827 is associative
LCM of 8827 and 8833 = LCM of 8833 and 8827
Related Least Common Multiples of 8827
Related Least Common Multiples of 8833
Frequently Asked Questions on LCM of 8827 and 8833
1. What is the LCM of 8827 and 8833?
Answer: LCM of 8827 and 8833 is 77968891.
2. 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.
3. What are the Factors of 8833?
Answer: Factors of 8833 are 1, 11, 73, 121, 803, 8833. There are 6 integers that are factors of 8833. The greatest factor of 8833 is 8833.
4. How to Find the LCM of 8827 and 8833?
Answer:
Least Common Multiple of 8827 and 8833 = 77968891
Step 1: Find the prime factorization of 8827
8827 = 7 x 13 x 97
Step 2: Find the prime factorization of 8833
8833 = 11 x 11 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77968891 = 7 x 11 x 11 x 13 x 73 x 97
Step 4: Therefore, the least common multiple of 8827 and 8833 is 77968891.