Least Common Multiple of 8671 and 8675
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8671 and 8675 the smallest integer that is 75220925 that is divisible by both numbers.
Least Common Multiple (LCM) of 8671 and 8675 is 75220925.
LCM(8671,8675) = 75220925
LCM of 8671 and 8675
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8671 and 8675 by Prime method
- Least Common Multiple of 8671 and 8675 with GCF Formula
LCM of 8671 and 8675 is 75220925
Least common multiple can be found by multiplying the highest exponent prime factors of 8671 and 8675. First we will calculate the prime factors of 8671 and 8675.
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
Prime Factorization of 8675
| 5 | 8675 |
| 5 | 1735 |
| 347 | 347 |
| 1 |
Prime factors of 8675 are 5,347. Prime factorization of 8675 in exponential form is:
8675 = 52×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 8671 and 8675.
LCM(8671,8675) = 52×131×231×291×3471
LCM(8671,8675) = 75220925
Factors of 8671
List of positive integer factors of 8671 that divides 8671 without a remainder.
1, 13, 23, 29, 299, 377, 667, 8671
Factors of 8675
List of positive integer factors of 8675 that divides 8675 without a remainder.
1, 5, 25, 347, 1735, 8675
Least Common Multiple of 8671 and 8675 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8671 and 8675, than apply into the LCM equation.
GCF(8671,8675) = 1
LCM(8671,8675) = ( 8671 × 8675) / 1
LCM(8671,8675) = 75220925 / 1
LCM(8671,8675) = 75220925
Properties of LCM 8671 and 8675
(i) The LCM of 8675 and 8671 is associative
LCM of 8671 and 8675 = LCM of 8675 and 8671
Related Least Common Multiples of 8671
Related Least Common Multiples of 8675
Frequently Asked Questions on LCM of 8671 and 8675
1. What is the LCM of 8671 and 8675?
Answer: LCM of 8671 and 8675 is 75220925.
2. 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.
3. What are the Factors of 8675?
Answer: Factors of 8675 are 1, 5, 25, 347, 1735, 8675. There are 6 integers that are factors of 8675. The greatest factor of 8675 is 8675.
4. How to Find the LCM of 8671 and 8675?
Answer:
Least Common Multiple of 8671 and 8675 = 75220925
Step 1: Find the prime factorization of 8671
8671 = 13 x 23 x 29
Step 2: Find the prime factorization of 8675
8675 = 5 x 5 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75220925 = 5 x 5 x 13 x 23 x 29 x 347
Step 4: Therefore, the least common multiple of 8671 and 8675 is 75220925.