Least Common Multiple of 865 and 869
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 865 and 869 the smallest integer that is 751685 that is divisible by both numbers.
Least Common Multiple (LCM) of 865 and 869 is 751685.
LCM(865,869) = 751685
LCM of 865 and 869
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 865 and 869 by Prime method
- Least Common Multiple of 865 and 869 with GCF Formula
LCM of 865 and 869 is 751685
Least common multiple can be found by multiplying the highest exponent prime factors of 865 and 869. First we will calculate the prime factors of 865 and 869.
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
Prime Factorization of 869
| 11 | 869 |
| 79 | 79 |
| 1 |
Prime factors of 869 are 11,79. Prime factorization of 869 in exponential form is:
869 = 111×791
Now multiplying the highest exponent prime factors to calculate the LCM of 865 and 869.
LCM(865,869) = 51×111×791×1731
LCM(865,869) = 751685
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Least Common Multiple of 865 and 869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 865 and 869, than apply into the LCM equation.
GCF(865,869) = 1
LCM(865,869) = ( 865 × 869) / 1
LCM(865,869) = 751685 / 1
LCM(865,869) = 751685
Properties of LCM 865 and 869
(i) The LCM of 869 and 865 is associative
LCM of 865 and 869 = LCM of 869 and 865
Related Least Common Multiples of 865
Related Least Common Multiples of 869
Frequently Asked Questions on LCM of 865 and 869
1. What is the LCM of 865 and 869?
Answer: LCM of 865 and 869 is 751685.
2. 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.
3. What are the Factors of 869?
Answer: Factors of 869 are 1, 11, 79, 869. There are 4 integers that are factors of 869. The greatest factor of 869 is 869.
4. How to Find the LCM of 865 and 869?
Answer:
Least Common Multiple of 865 and 869 = 751685
Step 1: Find the prime factorization of 865
865 = 5 x 173
Step 2: Find the prime factorization of 869
869 = 11 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 751685 = 5 x 11 x 79 x 173
Step 4: Therefore, the least common multiple of 865 and 869 is 751685.