Least Common Multiple of 8827 and 8834
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 8834 the smallest integer that is 11139674 that is divisible by both numbers.
Least Common Multiple (LCM) of 8827 and 8834 is 11139674.
LCM(8827,8834) = 11139674
LCM of 8827 and 8834
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8827 and 8834 by Prime method
- Least Common Multiple of 8827 and 8834 with GCF Formula
LCM of 8827 and 8834 is 11139674
Least common multiple can be found by multiplying the highest exponent prime factors of 8827 and 8834. First we will calculate the prime factors of 8827 and 8834.
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 8834
| 2 | 8834 |
| 7 | 4417 |
| 631 | 631 |
| 1 |
Prime factors of 8834 are 2, 7,631. Prime factorization of 8834 in exponential form is:
8834 = 21×71×6311
Now multiplying the highest exponent prime factors to calculate the LCM of 8827 and 8834.
LCM(8827,8834) = 21×71×131×971×6311
LCM(8827,8834) = 11139674
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 8834
List of positive integer factors of 8834 that divides 8834 without a remainder.
1, 2, 7, 14, 631, 1262, 4417, 8834
Least Common Multiple of 8827 and 8834 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 8834, than apply into the LCM equation.
GCF(8827,8834) = 7
LCM(8827,8834) = ( 8827 × 8834) / 7
LCM(8827,8834) = 77977718 / 7
LCM(8827,8834) = 11139674
Properties of LCM 8827 and 8834
(i) The LCM of 8834 and 8827 is associative
LCM of 8827 and 8834 = LCM of 8834 and 8827
Related Least Common Multiples of 8827
Related Least Common Multiples of 8834
Frequently Asked Questions on LCM of 8827 and 8834
1. What is the LCM of 8827 and 8834?
Answer: LCM of 8827 and 8834 is 11139674.
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 8834?
Answer: Factors of 8834 are 1, 2, 7, 14, 631, 1262, 4417, 8834. There are 8 integers that are factors of 8834. The greatest factor of 8834 is 8834.
4. How to Find the LCM of 8827 and 8834?
Answer:
Least Common Multiple of 8827 and 8834 = 11139674
Step 1: Find the prime factorization of 8827
8827 = 7 x 13 x 97
Step 2: Find the prime factorization of 8834
8834 = 2 x 7 x 631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11139674 = 2 x 7 x 13 x 97 x 631
Step 4: Therefore, the least common multiple of 8827 and 8834 is 11139674.
