Least Common Multiple of 865 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 865 and 871 the smallest integer that is 753415 that is divisible by both numbers.
Least Common Multiple (LCM) of 865 and 871 is 753415.
LCM(865,871) = 753415
LCM of 865 and 871
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 865 and 871 by Prime method
- Least Common Multiple of 865 and 871 with GCF Formula
LCM of 865 and 871 is 753415
Least common multiple can be found by multiplying the highest exponent prime factors of 865 and 871. First we will calculate the prime factors of 865 and 871.
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 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 865 and 871.
LCM(865,871) = 51×131×671×1731
LCM(865,871) = 753415
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Least Common Multiple of 865 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 865 and 871, than apply into the LCM equation.
GCF(865,871) = 1
LCM(865,871) = ( 865 × 871) / 1
LCM(865,871) = 753415 / 1
LCM(865,871) = 753415
Properties of LCM 865 and 871
(i) The LCM of 871 and 865 is associative
LCM of 865 and 871 = LCM of 871 and 865
Related Least Common Multiples of 865
Related Least Common Multiples of 871
Frequently Asked Questions on LCM of 865 and 871
1. What is the LCM of 865 and 871?
Answer: LCM of 865 and 871 is 753415.
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 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 865 and 871?
Answer:
Least Common Multiple of 865 and 871 = 753415
Step 1: Find the prime factorization of 865
865 = 5 x 173
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 = 753415 = 5 x 13 x 67 x 173
Step 4: Therefore, the least common multiple of 865 and 871 is 753415.