Least Common Multiple of 867 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 867 and 871 the smallest integer that is 755157 that is divisible by both numbers.
Least Common Multiple (LCM) of 867 and 871 is 755157.
LCM(867,871) = 755157
LCM of 867 and 871
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 867 and 871 by Prime method
- Least Common Multiple of 867 and 871 with GCF Formula
LCM of 867 and 871 is 755157
Least common multiple can be found by multiplying the highest exponent prime factors of 867 and 871. First we will calculate the prime factors of 867 and 871.
Prime Factorization of 867
| 3 | 867 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 867 are 3,17. Prime factorization of 867 in exponential form is:
867 = 31×172
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 867 and 871.
LCM(867,871) = 31×131×172×671
LCM(867,871) = 755157
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Least Common Multiple of 867 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 867 and 871, than apply into the LCM equation.
GCF(867,871) = 1
LCM(867,871) = ( 867 × 871) / 1
LCM(867,871) = 755157 / 1
LCM(867,871) = 755157
Properties of LCM 867 and 871
(i) The LCM of 871 and 867 is associative
LCM of 867 and 871 = LCM of 871 and 867
Related Least Common Multiples of 867
Related Least Common Multiples of 871
Frequently Asked Questions on LCM of 867 and 871
1. What is the LCM of 867 and 871?
Answer: LCM of 867 and 871 is 755157.
2. What are the Factors of 867?
Answer: Factors of 867 are 1, 3, 17, 51, 289, 867. There are 6 integers that are factors of 867. The greatest factor of 867 is 867.
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 867 and 871?
Answer:
Least Common Multiple of 867 and 871 = 755157
Step 1: Find the prime factorization of 867
867 = 3 x 17 x 17
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 = 755157 = 3 x 13 x 17 x 17 x 67
Step 4: Therefore, the least common multiple of 867 and 871 is 755157.