Least Common Multiple of 8873 and 8881
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8873 and 8881 the smallest integer that is 78801113 that is divisible by both numbers.
Least Common Multiple (LCM) of 8873 and 8881 is 78801113.
LCM(8873,8881) = 78801113
LCM of 8873 and 8881
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8873 and 8881 by Prime method
- Least Common Multiple of 8873 and 8881 with GCF Formula
LCM of 8873 and 8881 is 78801113
Least common multiple can be found by multiplying the highest exponent prime factors of 8873 and 8881. First we will calculate the prime factors of 8873 and 8881.
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
Prime Factorization of 8881
| 83 | 8881 |
| 107 | 107 |
| 1 |
Prime factors of 8881 are 83,107. Prime factorization of 8881 in exponential form is:
8881 = 831×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 8873 and 8881.
LCM(8873,8881) = 191×831×1071×4671
LCM(8873,8881) = 78801113
Factors of 8873
List of positive integer factors of 8873 that divides 8873 without a remainder.
1, 19, 467, 8873
Factors of 8881
List of positive integer factors of 8881 that divides 8881 without a remainder.
1, 83, 107, 8881
Least Common Multiple of 8873 and 8881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8873 and 8881, than apply into the LCM equation.
GCF(8873,8881) = 1
LCM(8873,8881) = ( 8873 × 8881) / 1
LCM(8873,8881) = 78801113 / 1
LCM(8873,8881) = 78801113
Properties of LCM 8873 and 8881
(i) The LCM of 8881 and 8873 is associative
LCM of 8873 and 8881 = LCM of 8881 and 8873
Related Least Common Multiples of 8873
Related Least Common Multiples of 8881
Frequently Asked Questions on LCM of 8873 and 8881
1. What is the LCM of 8873 and 8881?
Answer: LCM of 8873 and 8881 is 78801113.
2. 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.
3. What are the Factors of 8881?
Answer: Factors of 8881 are 1, 83, 107, 8881. There are 4 integers that are factors of 8881. The greatest factor of 8881 is 8881.
4. How to Find the LCM of 8873 and 8881?
Answer:
Least Common Multiple of 8873 and 8881 = 78801113
Step 1: Find the prime factorization of 8873
8873 = 19 x 467
Step 2: Find the prime factorization of 8881
8881 = 83 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78801113 = 19 x 83 x 107 x 467
Step 4: Therefore, the least common multiple of 8873 and 8881 is 78801113.