Least Common Multiple of 7865 and 7869
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 7869 the smallest integer that is 61889685 that is divisible by both numbers.
Least Common Multiple (LCM) of 7865 and 7869 is 61889685.
LCM(7865,7869) = 61889685
LCM of 7865 and 7869
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7865 and 7869 by Prime method
- Least Common Multiple of 7865 and 7869 with GCF Formula
LCM of 7865 and 7869 is 61889685
Least common multiple can be found by multiplying the highest exponent prime factors of 7865 and 7869. First we will calculate the prime factors of 7865 and 7869.
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 7869
| 3 | 7869 |
| 43 | 2623 |
| 61 | 61 |
| 1 |
Prime factors of 7869 are 3, 43,61. Prime factorization of 7869 in exponential form is:
7869 = 31×431×611
Now multiplying the highest exponent prime factors to calculate the LCM of 7865 and 7869.
LCM(7865,7869) = 31×51×112×131×431×611
LCM(7865,7869) = 61889685
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 7869
List of positive integer factors of 7869 that divides 7869 without a remainder.
1, 3, 43, 61, 129, 183, 2623, 7869
Least Common Multiple of 7865 and 7869 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 7869, than apply into the LCM equation.
GCF(7865,7869) = 1
LCM(7865,7869) = ( 7865 × 7869) / 1
LCM(7865,7869) = 61889685 / 1
LCM(7865,7869) = 61889685
Properties of LCM 7865 and 7869
(i) The LCM of 7869 and 7865 is associative
LCM of 7865 and 7869 = LCM of 7869 and 7865
Related Least Common Multiples of 7865
Related Least Common Multiples of 7869
Frequently Asked Questions on LCM of 7865 and 7869
1. What is the LCM of 7865 and 7869?
Answer: LCM of 7865 and 7869 is 61889685.
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 7869?
Answer: Factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869. There are 8 integers that are factors of 7869. The greatest factor of 7869 is 7869.
4. How to Find the LCM of 7865 and 7869?
Answer:
Least Common Multiple of 7865 and 7869 = 61889685
Step 1: Find the prime factorization of 7865
7865 = 5 x 11 x 11 x 13
Step 2: Find the prime factorization of 7869
7869 = 3 x 43 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61889685 = 3 x 5 x 11 x 11 x 13 x 43 x 61
Step 4: Therefore, the least common multiple of 7865 and 7869 is 61889685.