Least Common Multiple of 9873 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 9873 and 9877 the smallest integer that is 97515621 that is divisible by both numbers.
Least Common Multiple (LCM) of 9873 and 9877 is 97515621.
LCM(9873,9877) = 97515621
LCM of 9873 and 9877
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9873 and 9877 by Prime method
- Least Common Multiple of 9873 and 9877 with GCF Formula
LCM of 9873 and 9877 is 97515621
Least common multiple can be found by multiplying the highest exponent prime factors of 9873 and 9877. First we will calculate the prime factors of 9873 and 9877.
Prime Factorization of 9873
| 3 | 9873 |
| 3 | 3291 |
| 1097 | 1097 |
| 1 |
Prime factors of 9873 are 3,1097. Prime factorization of 9873 in exponential form is:
9873 = 32×10971
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 9873 and 9877.
LCM(9873,9877) = 32×71×171×831×10971
LCM(9873,9877) = 97515621
Factors of 9873
List of positive integer factors of 9873 that divides 9873 without a remainder.
1, 3, 9, 1097, 3291, 9873
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 9873 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 9873 and 9877, than apply into the LCM equation.
GCF(9873,9877) = 1
LCM(9873,9877) = ( 9873 × 9877) / 1
LCM(9873,9877) = 97515621 / 1
LCM(9873,9877) = 97515621
Properties of LCM 9873 and 9877
(i) The LCM of 9877 and 9873 is associative
LCM of 9873 and 9877 = LCM of 9877 and 9873
Related Least Common Multiples of 9873
Related Least Common Multiples of 9877
Frequently Asked Questions on LCM of 9873 and 9877
1. What is the LCM of 9873 and 9877?
Answer: LCM of 9873 and 9877 is 97515621.
2. What are the Factors of 9873?
Answer: Factors of 9873 are 1, 3, 9, 1097, 3291, 9873. There are 6 integers that are factors of 9873. The greatest factor of 9873 is 9873.
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 9873 and 9877?
Answer:
Least Common Multiple of 9873 and 9877 = 97515621
Step 1: Find the prime factorization of 9873
9873 = 3 x 3 x 1097
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 = 97515621 = 3 x 3 x 7 x 17 x 83 x 1097
Step 4: Therefore, the least common multiple of 9873 and 9877 is 97515621.