Least Common Multiple of 8697 and 8705
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8697 and 8705 the smallest integer that is 75707385 that is divisible by both numbers.
Least Common Multiple (LCM) of 8697 and 8705 is 75707385.
LCM(8697,8705) = 75707385
LCM of 8697 and 8705
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8697 and 8705 by Prime method
- Least Common Multiple of 8697 and 8705 with GCF Formula
LCM of 8697 and 8705 is 75707385
Least common multiple can be found by multiplying the highest exponent prime factors of 8697 and 8705. First we will calculate the prime factors of 8697 and 8705.
Prime Factorization of 8697
| 3 | 8697 |
| 13 | 2899 |
| 223 | 223 |
| 1 |
Prime factors of 8697 are 3, 13,223. Prime factorization of 8697 in exponential form is:
8697 = 31×131×2231
Prime Factorization of 8705
| 5 | 8705 |
| 1741 | 1741 |
| 1 |
Prime factors of 8705 are 5,1741. Prime factorization of 8705 in exponential form is:
8705 = 51×17411
Now multiplying the highest exponent prime factors to calculate the LCM of 8697 and 8705.
LCM(8697,8705) = 31×51×131×2231×17411
LCM(8697,8705) = 75707385
Factors of 8697
List of positive integer factors of 8697 that divides 8697 without a remainder.
1, 3, 13, 39, 223, 669, 2899, 8697
Factors of 8705
List of positive integer factors of 8705 that divides 8705 without a remainder.
1, 5, 1741, 8705
Least Common Multiple of 8697 and 8705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8697 and 8705, than apply into the LCM equation.
GCF(8697,8705) = 1
LCM(8697,8705) = ( 8697 × 8705) / 1
LCM(8697,8705) = 75707385 / 1
LCM(8697,8705) = 75707385
Properties of LCM 8697 and 8705
(i) The LCM of 8705 and 8697 is associative
LCM of 8697 and 8705 = LCM of 8705 and 8697
Related Least Common Multiples of 8697
Related Least Common Multiples of 8705
Frequently Asked Questions on LCM of 8697 and 8705
1. What is the LCM of 8697 and 8705?
Answer: LCM of 8697 and 8705 is 75707385.
2. What are the Factors of 8697?
Answer: Factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697. There are 8 integers that are factors of 8697. The greatest factor of 8697 is 8697.
3. What are the Factors of 8705?
Answer: Factors of 8705 are 1, 5, 1741, 8705. There are 4 integers that are factors of 8705. The greatest factor of 8705 is 8705.
4. How to Find the LCM of 8697 and 8705?
Answer:
Least Common Multiple of 8697 and 8705 = 75707385
Step 1: Find the prime factorization of 8697
8697 = 3 x 13 x 223
Step 2: Find the prime factorization of 8705
8705 = 5 x 1741
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75707385 = 3 x 5 x 13 x 223 x 1741
Step 4: Therefore, the least common multiple of 8697 and 8705 is 75707385.