Least Common Multiple of 9869 and 9877
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9869 and 9877 the smallest integer that is 97476113 that is divisible by both numbers.
Least Common Multiple (LCM) of 9869 and 9877 is 97476113.
LCM(9869,9877) = 97476113
LCM of 9869 and 9877
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9869 and 9877 by Prime method
- Least Common Multiple of 9869 and 9877 with GCF Formula
LCM of 9869 and 9877 is 97476113
Least common multiple can be found by multiplying the highest exponent prime factors of 9869 and 9877. First we will calculate the prime factors of 9869 and 9877.
Prime Factorization of 9869
| 71 | 9869 |
| 139 | 139 |
| 1 |
Prime factors of 9869 are 71,139. Prime factorization of 9869 in exponential form is:
9869 = 711×1391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9869 and 9877.
LCM(9869,9877) = 71×171×711×831×1391
LCM(9869,9877) = 97476113
Factors of 9869
List of positive integer factors of 9869 that divides 9869 without a remainder.
1, 71, 139, 9869
Factors of 9877
List of positive integer factors of 9877 that divides 9877 without a remainder.
1, 7, 17, 83, 119, 581, 1411, 9877
Least Common Multiple of 9869 and 9877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9869 and 9877, than apply into the LCM equation.
GCF(9869,9877) = 1
LCM(9869,9877) = ( 9869 × 9877) / 1
LCM(9869,9877) = 97476113 / 1
LCM(9869,9877) = 97476113
Properties of LCM 9869 and 9877
(i) The LCM of 9877 and 9869 is associative
LCM of 9869 and 9877 = LCM of 9877 and 9869
Related Least Common Multiples of 9869
Related Least Common Multiples of 9877
Frequently Asked Questions on LCM of 9869 and 9877
1. What is the LCM of 9869 and 9877?
Answer: LCM of 9869 and 9877 is 97476113.
2. What are the Factors of 9869?
Answer: Factors of 9869 are 1, 71, 139, 9869. There are 4 integers that are factors of 9869. The greatest factor of 9869 is 9869.
3. 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.
4. How to Find the LCM of 9869 and 9877?
Answer:
Least Common Multiple of 9869 and 9877 = 97476113
Step 1: Find the prime factorization of 9869
9869 = 71 x 139
Step 2: Find the prime factorization of 9877
9877 = 7 x 17 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97476113 = 7 x 17 x 71 x 83 x 139
Step 4: Therefore, the least common multiple of 9869 and 9877 is 97476113.