Least Common Multiple of 869 and 871
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 869 and 871 the smallest integer that is 756899 that is divisible by both numbers.
Least Common Multiple (LCM) of 869 and 871 is 756899.
LCM(869,871) = 756899
LCM of 869 and 871
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 869 and 871 by Prime method
- Least Common Multiple of 869 and 871 with GCF Formula
LCM of 869 and 871 is 756899
Least common multiple can be found by multiplying the highest exponent prime factors of 869 and 871. First we will calculate the prime factors of 869 and 871.
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
Prime Factorization of 871
| 13 | 871 |
| 67 | 67 |
| 1 |
Prime factors of 871 are 13,67. Prime factorization of 871 in exponential form is:
871 = 131×671
Now multiplying the highest exponent prime factors to calculate the LCM of 869 and 871.
LCM(869,871) = 111×131×671×791
LCM(869,871) = 756899
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Least Common Multiple of 869 and 871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 869 and 871, than apply into the LCM equation.
GCF(869,871) = 1
LCM(869,871) = ( 869 × 871) / 1
LCM(869,871) = 756899 / 1
LCM(869,871) = 756899
Properties of LCM 869 and 871
(i) The LCM of 871 and 869 is associative
LCM of 869 and 871 = LCM of 871 and 869
Related Least Common Multiples of 869
Related Least Common Multiples of 871
Frequently Asked Questions on LCM of 869 and 871
1. What is the LCM of 869 and 871?
Answer: LCM of 869 and 871 is 756899.
2. 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.
3. What are the Factors of 871?
Answer: Factors of 871 are 1, 13, 67, 871. There are 4 integers that are factors of 871. The greatest factor of 871 is 871.
4. How to Find the LCM of 869 and 871?
Answer:
Least Common Multiple of 869 and 871 = 756899
Step 1: Find the prime factorization of 869
869 = 11 x 79
Step 2: Find the prime factorization of 871
871 = 13 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 756899 = 11 x 13 x 67 x 79
Step 4: Therefore, the least common multiple of 869 and 871 is 756899.
