Least Common Multiple of 8658 and 8665
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8658 and 8665 the smallest integer that is 75021570 that is divisible by both numbers.
Least Common Multiple (LCM) of 8658 and 8665 is 75021570.
LCM(8658,8665) = 75021570
LCM of 8658 and 8665
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8658 and 8665 by Prime method
- Least Common Multiple of 8658 and 8665 with GCF Formula
LCM of 8658 and 8665 is 75021570
Least common multiple can be found by multiplying the highest exponent prime factors of 8658 and 8665. First we will calculate the prime factors of 8658 and 8665.
Prime Factorization of 8658
| 2 | 8658 |
| 3 | 4329 |
| 3 | 1443 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 8658 are 2, 3, 13,37. Prime factorization of 8658 in exponential form is:
8658 = 21×32×131×371
Prime Factorization of 8665
| 5 | 8665 |
| 1733 | 1733 |
| 1 |
Prime factors of 8665 are 5,1733. Prime factorization of 8665 in exponential form is:
8665 = 51×17331
Now multiplying the highest exponent prime factors to calculate the LCM of 8658 and 8665.
LCM(8658,8665) = 21×32×51×131×371×17331
LCM(8658,8665) = 75021570
Factors of 8658
List of positive integer factors of 8658 that divides 8658 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658
Factors of 8665
List of positive integer factors of 8665 that divides 8665 without a remainder.
1, 5, 1733, 8665
Least Common Multiple of 8658 and 8665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8658 and 8665, than apply into the LCM equation.
GCF(8658,8665) = 1
LCM(8658,8665) = ( 8658 × 8665) / 1
LCM(8658,8665) = 75021570 / 1
LCM(8658,8665) = 75021570
Properties of LCM 8658 and 8665
(i) The LCM of 8665 and 8658 is associative
LCM of 8658 and 8665 = LCM of 8665 and 8658
Related Least Common Multiples of 8658
Related Least Common Multiples of 8665
Frequently Asked Questions on LCM of 8658 and 8665
1. What is the LCM of 8658 and 8665?
Answer: LCM of 8658 and 8665 is 75021570.
2. What are the Factors of 8658?
Answer: Factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658. There are 24 integers that are factors of 8658. The greatest factor of 8658 is 8658.
3. What are the Factors of 8665?
Answer: Factors of 8665 are 1, 5, 1733, 8665. There are 4 integers that are factors of 8665. The greatest factor of 8665 is 8665.
4. How to Find the LCM of 8658 and 8665?
Answer:
Least Common Multiple of 8658 and 8665 = 75021570
Step 1: Find the prime factorization of 8658
8658 = 2 x 3 x 3 x 13 x 37
Step 2: Find the prime factorization of 8665
8665 = 5 x 1733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75021570 = 2 x 3 x 3 x 5 x 13 x 37 x 1733
Step 4: Therefore, the least common multiple of 8658 and 8665 is 75021570.