Least Common Multiple of 8690 and 8697
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8690 and 8697 the smallest integer that is 75576930 that is divisible by both numbers.
Least Common Multiple (LCM) of 8690 and 8697 is 75576930.
LCM(8690,8697) = 75576930
LCM of 8690 and 8697
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8690 and 8697 by Prime method
- Least Common Multiple of 8690 and 8697 with GCF Formula
LCM of 8690 and 8697 is 75576930
Least common multiple can be found by multiplying the highest exponent prime factors of 8690 and 8697. First we will calculate the prime factors of 8690 and 8697.
Prime Factorization of 8690
| 2 | 8690 |
| 5 | 4345 |
| 11 | 869 |
| 79 | 79 |
| 1 |
Prime factors of 8690 are 2, 5, 11,79. Prime factorization of 8690 in exponential form is:
8690 = 21×51×111×791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8690 and 8697.
LCM(8690,8697) = 21×31×51×111×131×791×2231
LCM(8690,8697) = 75576930
Factors of 8690
List of positive integer factors of 8690 that divides 8690 without a remainder.
1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690
Factors of 8697
List of positive integer factors of 8697 that divides 8697 without a remainder.
1, 3, 13, 39, 223, 669, 2899, 8697
Least Common Multiple of 8690 and 8697 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8690 and 8697, than apply into the LCM equation.
GCF(8690,8697) = 1
LCM(8690,8697) = ( 8690 × 8697) / 1
LCM(8690,8697) = 75576930 / 1
LCM(8690,8697) = 75576930
Properties of LCM 8690 and 8697
(i) The LCM of 8697 and 8690 is associative
LCM of 8690 and 8697 = LCM of 8697 and 8690
Related Least Common Multiples of 8690
Related Least Common Multiples of 8697
Frequently Asked Questions on LCM of 8690 and 8697
1. What is the LCM of 8690 and 8697?
Answer: LCM of 8690 and 8697 is 75576930.
2. What are the Factors of 8690?
Answer: Factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690. There are 16 integers that are factors of 8690. The greatest factor of 8690 is 8690.
3. 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.
4. How to Find the LCM of 8690 and 8697?
Answer:
Least Common Multiple of 8690 and 8697 = 75576930
Step 1: Find the prime factorization of 8690
8690 = 2 x 5 x 11 x 79
Step 2: Find the prime factorization of 8697
8697 = 3 x 13 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75576930 = 2 x 3 x 5 x 11 x 13 x 79 x 223
Step 4: Therefore, the least common multiple of 8690 and 8697 is 75576930.