Least Common Multiple of 7863 and 7865
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7863 and 7865 the smallest integer that is 61842495 that is divisible by both numbers.
Least Common Multiple (LCM) of 7863 and 7865 is 61842495.
LCM(7863,7865) = 61842495
LCM of 7863 and 7865
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7863 and 7865 by Prime method
- Least Common Multiple of 7863 and 7865 with GCF Formula
LCM of 7863 and 7865 is 61842495
Least common multiple can be found by multiplying the highest exponent prime factors of 7863 and 7865. First we will calculate the prime factors of 7863 and 7865.
Prime Factorization of 7863
| 3 | 7863 |
| 2621 | 2621 |
| 1 |
Prime factors of 7863 are 3,2621. Prime factorization of 7863 in exponential form is:
7863 = 31×26211
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7863 and 7865.
LCM(7863,7865) = 31×51×112×131×26211
LCM(7863,7865) = 61842495
Factors of 7863
List of positive integer factors of 7863 that divides 7863 without a remainder.
1, 3, 2621, 7863
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
Least Common Multiple of 7863 and 7865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7863 and 7865, than apply into the LCM equation.
GCF(7863,7865) = 1
LCM(7863,7865) = ( 7863 × 7865) / 1
LCM(7863,7865) = 61842495 / 1
LCM(7863,7865) = 61842495
Properties of LCM 7863 and 7865
(i) The LCM of 7865 and 7863 is associative
LCM of 7863 and 7865 = LCM of 7865 and 7863
Related Least Common Multiples of 7863
Related Least Common Multiples of 7865
Frequently Asked Questions on LCM of 7863 and 7865
1. What is the LCM of 7863 and 7865?
Answer: LCM of 7863 and 7865 is 61842495.
2. What are the Factors of 7863?
Answer: Factors of 7863 are 1, 3, 2621, 7863. There are 4 integers that are factors of 7863. The greatest factor of 7863 is 7863.
3. 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.
4. How to Find the LCM of 7863 and 7865?
Answer:
Least Common Multiple of 7863 and 7865 = 61842495
Step 1: Find the prime factorization of 7863
7863 = 3 x 2621
Step 2: Find the prime factorization of 7865
7865 = 5 x 11 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61842495 = 3 x 5 x 11 x 11 x 13 x 2621
Step 4: Therefore, the least common multiple of 7863 and 7865 is 61842495.