Least Common Multiple of 7866 and 7873
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7866 and 7873 the smallest integer that is 61929018 that is divisible by both numbers.
Least Common Multiple (LCM) of 7866 and 7873 is 61929018.
LCM(7866,7873) = 61929018
LCM of 7866 and 7873
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7866 and 7873 by Prime method
- Least Common Multiple of 7866 and 7873 with GCF Formula
LCM of 7866 and 7873 is 61929018
Least common multiple can be found by multiplying the highest exponent prime factors of 7866 and 7873. First we will calculate the prime factors of 7866 and 7873.
Prime Factorization of 7866
| 2 | 7866 |
| 3 | 3933 |
| 3 | 1311 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 7866 are 2, 3, 19,23. Prime factorization of 7866 in exponential form is:
7866 = 21×32×191×231
Prime Factorization of 7873
| 7873 | 7873 |
| 1 |
Prime factors of 7873 are 7873. Prime factorization of 7873 in exponential form is:
7873 = 78731
Now multiplying the highest exponent prime factors to calculate the LCM of 7866 and 7873.
LCM(7866,7873) = 21×32×191×231×78731
LCM(7866,7873) = 61929018
Factors of 7866
List of positive integer factors of 7866 that divides 7866 without a remainder.
1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866
Factors of 7873
List of positive integer factors of 7873 that divides 7873 without a remainder.
1, 7873
Least Common Multiple of 7866 and 7873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7866 and 7873, than apply into the LCM equation.
GCF(7866,7873) = 1
LCM(7866,7873) = ( 7866 × 7873) / 1
LCM(7866,7873) = 61929018 / 1
LCM(7866,7873) = 61929018
Properties of LCM 7866 and 7873
(i) The LCM of 7873 and 7866 is associative
LCM of 7866 and 7873 = LCM of 7873 and 7866
Related Least Common Multiples of 7866
Related Least Common Multiples of 7873
Frequently Asked Questions on LCM of 7866 and 7873
1. What is the LCM of 7866 and 7873?
Answer: LCM of 7866 and 7873 is 61929018.
2. What are the Factors of 7866?
Answer: Factors of 7866 are 1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866. There are 24 integers that are factors of 7866. The greatest factor of 7866 is 7866.
3. What are the Factors of 7873?
Answer: Factors of 7873 are 1, 7873. There are 2 integers that are factors of 7873. The greatest factor of 7873 is 7873.
4. How to Find the LCM of 7866 and 7873?
Answer:
Least Common Multiple of 7866 and 7873 = 61929018
Step 1: Find the prime factorization of 7866
7866 = 2 x 3 x 3 x 19 x 23
Step 2: Find the prime factorization of 7873
7873 = 7873
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61929018 = 2 x 3 x 3 x 19 x 23 x 7873
Step 4: Therefore, the least common multiple of 7866 and 7873 is 61929018.