Least Common Multiple of 8665 and 8671
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8665 and 8671 the smallest integer that is 75134215 that is divisible by both numbers.
Least Common Multiple (LCM) of 8665 and 8671 is 75134215.
LCM(8665,8671) = 75134215
LCM of 8665 and 8671
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8665 and 8671 by Prime method
- Least Common Multiple of 8665 and 8671 with GCF Formula
LCM of 8665 and 8671 is 75134215
Least common multiple can be found by multiplying the highest exponent prime factors of 8665 and 8671. First we will calculate the prime factors of 8665 and 8671.
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
Prime Factorization of 8671
| 13 | 8671 |
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 8671 are 13, 23,29. Prime factorization of 8671 in exponential form is:
8671 = 131×231×291
Now multiplying the highest exponent prime factors to calculate the LCM of 8665 and 8671.
LCM(8665,8671) = 51×131×231×291×17331
LCM(8665,8671) = 75134215
Factors of 8665
List of positive integer factors of 8665 that divides 8665 without a remainder.
1, 5, 1733, 8665
Factors of 8671
List of positive integer factors of 8671 that divides 8671 without a remainder.
1, 13, 23, 29, 299, 377, 667, 8671
Least Common Multiple of 8665 and 8671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8665 and 8671, than apply into the LCM equation.
GCF(8665,8671) = 1
LCM(8665,8671) = ( 8665 × 8671) / 1
LCM(8665,8671) = 75134215 / 1
LCM(8665,8671) = 75134215
Properties of LCM 8665 and 8671
(i) The LCM of 8671 and 8665 is associative
LCM of 8665 and 8671 = LCM of 8671 and 8665
Related Least Common Multiples of 8665
Related Least Common Multiples of 8671
Frequently Asked Questions on LCM of 8665 and 8671
1. What is the LCM of 8665 and 8671?
Answer: LCM of 8665 and 8671 is 75134215.
2. 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.
3. What are the Factors of 8671?
Answer: Factors of 8671 are 1, 13, 23, 29, 299, 377, 667, 8671. There are 8 integers that are factors of 8671. The greatest factor of 8671 is 8671.
4. How to Find the LCM of 8665 and 8671?
Answer:
Least Common Multiple of 8665 and 8671 = 75134215
Step 1: Find the prime factorization of 8665
8665 = 5 x 1733
Step 2: Find the prime factorization of 8671
8671 = 13 x 23 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75134215 = 5 x 13 x 23 x 29 x 1733
Step 4: Therefore, the least common multiple of 8665 and 8671 is 75134215.