Least Common Multiple of 8866 and 8873
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8866 and 8873 the smallest integer that is 78668018 that is divisible by both numbers.
Least Common Multiple (LCM) of 8866 and 8873 is 78668018.
LCM(8866,8873) = 78668018
LCM of 8866 and 8873
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8866 and 8873 by Prime method
- Least Common Multiple of 8866 and 8873 with GCF Formula
LCM of 8866 and 8873 is 78668018
Least common multiple can be found by multiplying the highest exponent prime factors of 8866 and 8873. First we will calculate the prime factors of 8866 and 8873.
Prime Factorization of 8866
| 2 | 8866 |
| 11 | 4433 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 8866 are 2, 11, 13,31. Prime factorization of 8866 in exponential form is:
8866 = 21×111×131×311
Prime Factorization of 8873
| 19 | 8873 |
| 467 | 467 |
| 1 |
Prime factors of 8873 are 19,467. Prime factorization of 8873 in exponential form is:
8873 = 191×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 8866 and 8873.
LCM(8866,8873) = 21×111×131×191×311×4671
LCM(8866,8873) = 78668018
Factors of 8866
List of positive integer factors of 8866 that divides 8866 without a remainder.
1, 2, 11, 13, 22, 26, 31, 62, 143, 286, 341, 403, 682, 806, 4433, 8866
Factors of 8873
List of positive integer factors of 8873 that divides 8873 without a remainder.
1, 19, 467, 8873
Least Common Multiple of 8866 and 8873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8866 and 8873, than apply into the LCM equation.
GCF(8866,8873) = 1
LCM(8866,8873) = ( 8866 × 8873) / 1
LCM(8866,8873) = 78668018 / 1
LCM(8866,8873) = 78668018
Properties of LCM 8866 and 8873
(i) The LCM of 8873 and 8866 is associative
LCM of 8866 and 8873 = LCM of 8873 and 8866
Related Least Common Multiples of 8866
Related Least Common Multiples of 8873
Frequently Asked Questions on LCM of 8866 and 8873
1. What is the LCM of 8866 and 8873?
Answer: LCM of 8866 and 8873 is 78668018.
2. What are the Factors of 8866?
Answer: Factors of 8866 are 1, 2, 11, 13, 22, 26, 31, 62, 143, 286, 341, 403, 682, 806, 4433, 8866. There are 16 integers that are factors of 8866. The greatest factor of 8866 is 8866.
3. What are the Factors of 8873?
Answer: Factors of 8873 are 1, 19, 467, 8873. There are 4 integers that are factors of 8873. The greatest factor of 8873 is 8873.
4. How to Find the LCM of 8866 and 8873?
Answer:
Least Common Multiple of 8866 and 8873 = 78668018
Step 1: Find the prime factorization of 8866
8866 = 2 x 11 x 13 x 31
Step 2: Find the prime factorization of 8873
8873 = 19 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78668018 = 2 x 11 x 13 x 19 x 31 x 467
Step 4: Therefore, the least common multiple of 8866 and 8873 is 78668018.