Least Common Multiple of 861 and 865
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 861 and 865 the smallest integer that is 744765 that is divisible by both numbers.
Least Common Multiple (LCM) of 861 and 865 is 744765.
LCM(861,865) = 744765
LCM of 861 and 865
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 861 and 865 by Prime method
- Least Common Multiple of 861 and 865 with GCF Formula
LCM of 861 and 865 is 744765
Least common multiple can be found by multiplying the highest exponent prime factors of 861 and 865. First we will calculate the prime factors of 861 and 865.
Prime Factorization of 861
| 3 | 861 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 861 are 3, 7,41. Prime factorization of 861 in exponential form is:
861 = 31×71×411
Prime Factorization of 865
| 5 | 865 |
| 173 | 173 |
| 1 |
Prime factors of 865 are 5,173. Prime factorization of 865 in exponential form is:
865 = 51×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 861 and 865.
LCM(861,865) = 31×51×71×411×1731
LCM(861,865) = 744765
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Least Common Multiple of 861 and 865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 861 and 865, than apply into the LCM equation.
GCF(861,865) = 1
LCM(861,865) = ( 861 × 865) / 1
LCM(861,865) = 744765 / 1
LCM(861,865) = 744765
Properties of LCM 861 and 865
(i) The LCM of 865 and 861 is associative
LCM of 861 and 865 = LCM of 865 and 861
Related Least Common Multiples of 861
Related Least Common Multiples of 865
Frequently Asked Questions on LCM of 861 and 865
1. What is the LCM of 861 and 865?
Answer: LCM of 861 and 865 is 744765.
2. What are the Factors of 861?
Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.
3. What are the Factors of 865?
Answer: Factors of 865 are 1, 5, 173, 865. There are 4 integers that are factors of 865. The greatest factor of 865 is 865.
4. How to Find the LCM of 861 and 865?
Answer:
Least Common Multiple of 861 and 865 = 744765
Step 1: Find the prime factorization of 861
861 = 3 x 7 x 41
Step 2: Find the prime factorization of 865
865 = 5 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 744765 = 3 x 5 x 7 x 41 x 173
Step 4: Therefore, the least common multiple of 861 and 865 is 744765.