Least Common Multiple of 8801 and 8806
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8801 and 8806 the smallest integer that is 77501606 that is divisible by both numbers.
Least Common Multiple (LCM) of 8801 and 8806 is 77501606.
LCM(8801,8806) = 77501606
LCM of 8801 and 8806
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8801 and 8806 by Prime method
- Least Common Multiple of 8801 and 8806 with GCF Formula
LCM of 8801 and 8806 is 77501606
Least common multiple can be found by multiplying the highest exponent prime factors of 8801 and 8806. First we will calculate the prime factors of 8801 and 8806.
Prime Factorization of 8801
| 13 | 8801 |
| 677 | 677 |
| 1 |
Prime factors of 8801 are 13,677. Prime factorization of 8801 in exponential form is:
8801 = 131×6771
Prime Factorization of 8806
| 2 | 8806 |
| 7 | 4403 |
| 17 | 629 |
| 37 | 37 |
| 1 |
Prime factors of 8806 are 2, 7, 17,37. Prime factorization of 8806 in exponential form is:
8806 = 21×71×171×371
Now multiplying the highest exponent prime factors to calculate the LCM of 8801 and 8806.
LCM(8801,8806) = 21×71×131×171×371×6771
LCM(8801,8806) = 77501606
Factors of 8801
List of positive integer factors of 8801 that divides 8801 without a remainder.
1, 13, 677, 8801
Factors of 8806
List of positive integer factors of 8806 that divides 8806 without a remainder.
1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806
Least Common Multiple of 8801 and 8806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8801 and 8806, than apply into the LCM equation.
GCF(8801,8806) = 1
LCM(8801,8806) = ( 8801 × 8806) / 1
LCM(8801,8806) = 77501606 / 1
LCM(8801,8806) = 77501606
Properties of LCM 8801 and 8806
(i) The LCM of 8806 and 8801 is associative
LCM of 8801 and 8806 = LCM of 8806 and 8801
Related Least Common Multiples of 8801
Related Least Common Multiples of 8806
Frequently Asked Questions on LCM of 8801 and 8806
1. What is the LCM of 8801 and 8806?
Answer: LCM of 8801 and 8806 is 77501606.
2. What are the Factors of 8801?
Answer: Factors of 8801 are 1, 13, 677, 8801. There are 4 integers that are factors of 8801. The greatest factor of 8801 is 8801.
3. What are the Factors of 8806?
Answer: Factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806. There are 16 integers that are factors of 8806. The greatest factor of 8806 is 8806.
4. How to Find the LCM of 8801 and 8806?
Answer:
Least Common Multiple of 8801 and 8806 = 77501606
Step 1: Find the prime factorization of 8801
8801 = 13 x 677
Step 2: Find the prime factorization of 8806
8806 = 2 x 7 x 17 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77501606 = 2 x 7 x 13 x 17 x 37 x 677
Step 4: Therefore, the least common multiple of 8801 and 8806 is 77501606.