Least Common Multiple of 8806 and 8813
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8806 and 8813 the smallest integer that is 11086754 that is divisible by both numbers.
Least Common Multiple (LCM) of 8806 and 8813 is 11086754.
LCM(8806,8813) = 11086754
LCM of 8806 and 8813
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8806 and 8813 by Prime method
- Least Common Multiple of 8806 and 8813 with GCF Formula
LCM of 8806 and 8813 is 11086754
Least common multiple can be found by multiplying the highest exponent prime factors of 8806 and 8813. First we will calculate the prime factors of 8806 and 8813.
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
Prime Factorization of 8813
| 7 | 8813 |
| 1259 | 1259 |
| 1 |
Prime factors of 8813 are 7,1259. Prime factorization of 8813 in exponential form is:
8813 = 71×12591
Now multiplying the highest exponent prime factors to calculate the LCM of 8806 and 8813.
LCM(8806,8813) = 21×71×171×371×12591
LCM(8806,8813) = 11086754
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
Factors of 8813
List of positive integer factors of 8813 that divides 8813 without a remainder.
1, 7, 1259, 8813
Least Common Multiple of 8806 and 8813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8806 and 8813, than apply into the LCM equation.
GCF(8806,8813) = 7
LCM(8806,8813) = ( 8806 × 8813) / 7
LCM(8806,8813) = 77607278 / 7
LCM(8806,8813) = 11086754
Properties of LCM 8806 and 8813
(i) The LCM of 8813 and 8806 is associative
LCM of 8806 and 8813 = LCM of 8813 and 8806
Related Least Common Multiples of 8806
Related Least Common Multiples of 8813
Frequently Asked Questions on LCM of 8806 and 8813
1. What is the LCM of 8806 and 8813?
Answer: LCM of 8806 and 8813 is 11086754.
2. 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.
3. What are the Factors of 8813?
Answer: Factors of 8813 are 1, 7, 1259, 8813. There are 4 integers that are factors of 8813. The greatest factor of 8813 is 8813.
4. How to Find the LCM of 8806 and 8813?
Answer:
Least Common Multiple of 8806 and 8813 = 11086754
Step 1: Find the prime factorization of 8806
8806 = 2 x 7 x 17 x 37
Step 2: Find the prime factorization of 8813
8813 = 7 x 1259
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11086754 = 2 x 7 x 17 x 37 x 1259
Step 4: Therefore, the least common multiple of 8806 and 8813 is 11086754.