Least Common Multiple of 868 and 873
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 868 and 873 the smallest integer that is 757764 that is divisible by both numbers.
Least Common Multiple (LCM) of 868 and 873 is 757764.
LCM(868,873) = 757764
LCM of 868 and 873
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 868 and 873 by Prime method
- Least Common Multiple of 868 and 873 with GCF Formula
LCM of 868 and 873 is 757764
Least common multiple can be found by multiplying the highest exponent prime factors of 868 and 873. First we will calculate the prime factors of 868 and 873.
Prime Factorization of 868
| 2 | 868 |
| 2 | 434 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 868 are 2, 7,31. Prime factorization of 868 in exponential form is:
868 = 22×71×311
Prime Factorization of 873
| 3 | 873 |
| 3 | 291 |
| 97 | 97 |
| 1 |
Prime factors of 873 are 3,97. Prime factorization of 873 in exponential form is:
873 = 32×971
Now multiplying the highest exponent prime factors to calculate the LCM of 868 and 873.
LCM(868,873) = 22×32×71×311×971
LCM(868,873) = 757764
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Least Common Multiple of 868 and 873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 868 and 873, than apply into the LCM equation.
GCF(868,873) = 1
LCM(868,873) = ( 868 × 873) / 1
LCM(868,873) = 757764 / 1
LCM(868,873) = 757764
Properties of LCM 868 and 873
(i) The LCM of 873 and 868 is associative
LCM of 868 and 873 = LCM of 873 and 868
Related Least Common Multiples of 868
Related Least Common Multiples of 873
Frequently Asked Questions on LCM of 868 and 873
1. What is the LCM of 868 and 873?
Answer: LCM of 868 and 873 is 757764.
2. What are the Factors of 868?
Answer: Factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. There are 12 integers that are factors of 868. The greatest factor of 868 is 868.
3. What are the Factors of 873?
Answer: Factors of 873 are 1, 3, 9, 97, 291, 873. There are 6 integers that are factors of 873. The greatest factor of 873 is 873.
4. How to Find the LCM of 868 and 873?
Answer:
Least Common Multiple of 868 and 873 = 757764
Step 1: Find the prime factorization of 868
868 = 2 x 2 x 7 x 31
Step 2: Find the prime factorization of 873
873 = 3 x 3 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 757764 = 2 x 2 x 3 x 3 x 7 x 31 x 97
Step 4: Therefore, the least common multiple of 868 and 873 is 757764.
