Least Common Multiple of 9877 and 9881
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9877 and 9881 the smallest integer that is 97594637 that is divisible by both numbers.
Least Common Multiple (LCM) of 9877 and 9881 is 97594637.
LCM(9877,9881) = 97594637
LCM of 9877 and 9881
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9877 and 9881 by Prime method
- Least Common Multiple of 9877 and 9881 with GCF Formula
LCM of 9877 and 9881 is 97594637
Least common multiple can be found by multiplying the highest exponent prime factors of 9877 and 9881. First we will calculate the prime factors of 9877 and 9881.
Prime Factorization of 9877
| 7 | 9877 |
| 17 | 1411 |
| 83 | 83 |
| 1 |
Prime factors of 9877 are 7, 17,83. Prime factorization of 9877 in exponential form is:
9877 = 71×171×831
Prime Factorization of 9881
| 41 | 9881 |
| 241 | 241 |
| 1 |
Prime factors of 9881 are 41,241. Prime factorization of 9881 in exponential form is:
9881 = 411×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 9877 and 9881.
LCM(9877,9881) = 71×171×411×831×2411
LCM(9877,9881) = 97594637
Factors of 9877
List of positive integer factors of 9877 that divides 9877 without a remainder.
1, 7, 17, 83, 119, 581, 1411, 9877
Factors of 9881
List of positive integer factors of 9881 that divides 9881 without a remainder.
1, 41, 241, 9881
Least Common Multiple of 9877 and 9881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9877 and 9881, than apply into the LCM equation.
GCF(9877,9881) = 1
LCM(9877,9881) = ( 9877 × 9881) / 1
LCM(9877,9881) = 97594637 / 1
LCM(9877,9881) = 97594637
Properties of LCM 9877 and 9881
(i) The LCM of 9881 and 9877 is associative
LCM of 9877 and 9881 = LCM of 9881 and 9877
Related Least Common Multiples of 9877
Related Least Common Multiples of 9881
Frequently Asked Questions on LCM of 9877 and 9881
1. What is the LCM of 9877 and 9881?
Answer: LCM of 9877 and 9881 is 97594637.
2. What are the Factors of 9877?
Answer: Factors of 9877 are 1, 7, 17, 83, 119, 581, 1411, 9877. There are 8 integers that are factors of 9877. The greatest factor of 9877 is 9877.
3. What are the Factors of 9881?
Answer: Factors of 9881 are 1, 41, 241, 9881. There are 4 integers that are factors of 9881. The greatest factor of 9881 is 9881.
4. How to Find the LCM of 9877 and 9881?
Answer:
Least Common Multiple of 9877 and 9881 = 97594637
Step 1: Find the prime factorization of 9877
9877 = 7 x 17 x 83
Step 2: Find the prime factorization of 9881
9881 = 41 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97594637 = 7 x 17 x 41 x 83 x 241
Step 4: Therefore, the least common multiple of 9877 and 9881 is 97594637.