Least Common Multiple of 8801 and 8809
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 8809 the smallest integer that is 77528009 that is divisible by both numbers.
Least Common Multiple (LCM) of 8801 and 8809 is 77528009.
LCM(8801,8809) = 77528009
LCM of 8801 and 8809
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8801 and 8809 by Prime method
- Least Common Multiple of 8801 and 8809 with GCF Formula
LCM of 8801 and 8809 is 77528009
Least common multiple can be found by multiplying the highest exponent prime factors of 8801 and 8809. First we will calculate the prime factors of 8801 and 8809.
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 8809
| 23 | 8809 |
| 383 | 383 |
| 1 |
Prime factors of 8809 are 23,383. Prime factorization of 8809 in exponential form is:
8809 = 231×3831
Now multiplying the highest exponent prime factors to calculate the LCM of 8801 and 8809.
LCM(8801,8809) = 131×231×3831×6771
LCM(8801,8809) = 77528009
Factors of 8801
List of positive integer factors of 8801 that divides 8801 without a remainder.
1, 13, 677, 8801
Factors of 8809
List of positive integer factors of 8809 that divides 8809 without a remainder.
1, 23, 383, 8809
Least Common Multiple of 8801 and 8809 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 8809, than apply into the LCM equation.
GCF(8801,8809) = 1
LCM(8801,8809) = ( 8801 × 8809) / 1
LCM(8801,8809) = 77528009 / 1
LCM(8801,8809) = 77528009
Properties of LCM 8801 and 8809
(i) The LCM of 8809 and 8801 is associative
LCM of 8801 and 8809 = LCM of 8809 and 8801
Related Least Common Multiples of 8801
Related Least Common Multiples of 8809
Frequently Asked Questions on LCM of 8801 and 8809
1. What is the LCM of 8801 and 8809?
Answer: LCM of 8801 and 8809 is 77528009.
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 8809?
Answer: Factors of 8809 are 1, 23, 383, 8809. There are 4 integers that are factors of 8809. The greatest factor of 8809 is 8809.
4. How to Find the LCM of 8801 and 8809?
Answer:
Least Common Multiple of 8801 and 8809 = 77528009
Step 1: Find the prime factorization of 8801
8801 = 13 x 677
Step 2: Find the prime factorization of 8809
8809 = 23 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77528009 = 13 x 23 x 383 x 677
Step 4: Therefore, the least common multiple of 8801 and 8809 is 77528009.