Least Common Multiple of 9877 and 9885
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 9885 the smallest integer that is 97634145 that is divisible by both numbers.
Least Common Multiple (LCM) of 9877 and 9885 is 97634145.
LCM(9877,9885) = 97634145
LCM of 9877 and 9885
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9877 and 9885 by Prime method
- Least Common Multiple of 9877 and 9885 with GCF Formula
LCM of 9877 and 9885 is 97634145
Least common multiple can be found by multiplying the highest exponent prime factors of 9877 and 9885. First we will calculate the prime factors of 9877 and 9885.
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 9885
| 3 | 9885 |
| 5 | 3295 |
| 659 | 659 |
| 1 |
Prime factors of 9885 are 3, 5,659. Prime factorization of 9885 in exponential form is:
9885 = 31×51×6591
Now multiplying the highest exponent prime factors to calculate the LCM of 9877 and 9885.
LCM(9877,9885) = 31×51×71×171×831×6591
LCM(9877,9885) = 97634145
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 9885
List of positive integer factors of 9885 that divides 9885 without a remainder.
1, 3, 5, 15, 659, 1977, 3295, 9885
Least Common Multiple of 9877 and 9885 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 9885, than apply into the LCM equation.
GCF(9877,9885) = 1
LCM(9877,9885) = ( 9877 × 9885) / 1
LCM(9877,9885) = 97634145 / 1
LCM(9877,9885) = 97634145
Properties of LCM 9877 and 9885
(i) The LCM of 9885 and 9877 is associative
LCM of 9877 and 9885 = LCM of 9885 and 9877
Related Least Common Multiples of 9877
Related Least Common Multiples of 9885
Frequently Asked Questions on LCM of 9877 and 9885
1. What is the LCM of 9877 and 9885?
Answer: LCM of 9877 and 9885 is 97634145.
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 9885?
Answer: Factors of 9885 are 1, 3, 5, 15, 659, 1977, 3295, 9885. There are 8 integers that are factors of 9885. The greatest factor of 9885 is 9885.
4. How to Find the LCM of 9877 and 9885?
Answer:
Least Common Multiple of 9877 and 9885 = 97634145
Step 1: Find the prime factorization of 9877
9877 = 7 x 17 x 83
Step 2: Find the prime factorization of 9885
9885 = 3 x 5 x 659
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97634145 = 3 x 5 x 7 x 17 x 83 x 659
Step 4: Therefore, the least common multiple of 9877 and 9885 is 97634145.