Least Common Multiple of 8683 and 8690
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8683 and 8690 the smallest integer that is 75455270 that is divisible by both numbers.
Least Common Multiple (LCM) of 8683 and 8690 is 75455270.
LCM(8683,8690) = 75455270
LCM of 8683 and 8690
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8683 and 8690 by Prime method
- Least Common Multiple of 8683 and 8690 with GCF Formula
LCM of 8683 and 8690 is 75455270
Least common multiple can be found by multiplying the highest exponent prime factors of 8683 and 8690. First we will calculate the prime factors of 8683 and 8690.
Prime Factorization of 8683
| 19 | 8683 |
| 457 | 457 |
| 1 |
Prime factors of 8683 are 19,457. Prime factorization of 8683 in exponential form is:
8683 = 191×4571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8683 and 8690.
LCM(8683,8690) = 21×51×111×191×791×4571
LCM(8683,8690) = 75455270
Factors of 8683
List of positive integer factors of 8683 that divides 8683 without a remainder.
1, 19, 457, 8683
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
Least Common Multiple of 8683 and 8690 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8683 and 8690, than apply into the LCM equation.
GCF(8683,8690) = 1
LCM(8683,8690) = ( 8683 × 8690) / 1
LCM(8683,8690) = 75455270 / 1
LCM(8683,8690) = 75455270
Properties of LCM 8683 and 8690
(i) The LCM of 8690 and 8683 is associative
LCM of 8683 and 8690 = LCM of 8690 and 8683
Related Least Common Multiples of 8683
Related Least Common Multiples of 8690
Frequently Asked Questions on LCM of 8683 and 8690
1. What is the LCM of 8683 and 8690?
Answer: LCM of 8683 and 8690 is 75455270.
2. What are the Factors of 8683?
Answer: Factors of 8683 are 1, 19, 457, 8683. There are 4 integers that are factors of 8683. The greatest factor of 8683 is 8683.
3. 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.
4. How to Find the LCM of 8683 and 8690?
Answer:
Least Common Multiple of 8683 and 8690 = 75455270
Step 1: Find the prime factorization of 8683
8683 = 19 x 457
Step 2: Find the prime factorization of 8690
8690 = 2 x 5 x 11 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75455270 = 2 x 5 x 11 x 19 x 79 x 457
Step 4: Therefore, the least common multiple of 8683 and 8690 is 75455270.