Least Common Multiple of 7865 and 7871
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7865 and 7871 the smallest integer that is 61905415 that is divisible by both numbers.
Least Common Multiple (LCM) of 7865 and 7871 is 61905415.
LCM(7865,7871) = 61905415
LCM of 7865 and 7871
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7865 and 7871 by Prime method
- Least Common Multiple of 7865 and 7871 with GCF Formula
LCM of 7865 and 7871 is 61905415
Least common multiple can be found by multiplying the highest exponent prime factors of 7865 and 7871. First we will calculate the prime factors of 7865 and 7871.
Prime Factorization of 7865
| 5 | 7865 |
| 11 | 1573 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 7865 are 5, 11,13. Prime factorization of 7865 in exponential form is:
7865 = 51×112×131
Prime Factorization of 7871
| 17 | 7871 |
| 463 | 463 |
| 1 |
Prime factors of 7871 are 17,463. Prime factorization of 7871 in exponential form is:
7871 = 171×4631
Now multiplying the highest exponent prime factors to calculate the LCM of 7865 and 7871.
LCM(7865,7871) = 51×112×131×171×4631
LCM(7865,7871) = 61905415
Factors of 7865
List of positive integer factors of 7865 that divides 7865 without a remainder.
1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865
Factors of 7871
List of positive integer factors of 7871 that divides 7871 without a remainder.
1, 17, 463, 7871
Least Common Multiple of 7865 and 7871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7865 and 7871, than apply into the LCM equation.
GCF(7865,7871) = 1
LCM(7865,7871) = ( 7865 × 7871) / 1
LCM(7865,7871) = 61905415 / 1
LCM(7865,7871) = 61905415
Properties of LCM 7865 and 7871
(i) The LCM of 7871 and 7865 is associative
LCM of 7865 and 7871 = LCM of 7871 and 7865
Related Least Common Multiples of 7865
Related Least Common Multiples of 7871
Frequently Asked Questions on LCM of 7865 and 7871
1. What is the LCM of 7865 and 7871?
Answer: LCM of 7865 and 7871 is 61905415.
2. What are the Factors of 7865?
Answer: Factors of 7865 are 1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865. There are 12 integers that are factors of 7865. The greatest factor of 7865 is 7865.
3. What are the Factors of 7871?
Answer: Factors of 7871 are 1, 17, 463, 7871. There are 4 integers that are factors of 7871. The greatest factor of 7871 is 7871.
4. How to Find the LCM of 7865 and 7871?
Answer:
Least Common Multiple of 7865 and 7871 = 61905415
Step 1: Find the prime factorization of 7865
7865 = 5 x 11 x 11 x 13
Step 2: Find the prime factorization of 7871
7871 = 17 x 463
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61905415 = 5 x 11 x 11 x 13 x 17 x 463
Step 4: Therefore, the least common multiple of 7865 and 7871 is 61905415.