Least Common Multiple of 9869 and 9875
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 9875 the smallest integer that is 97456375 that is divisible by both numbers.
Least Common Multiple (LCM) of 9869 and 9875 is 97456375.
LCM(9869,9875) = 97456375
LCM of 9869 and 9875
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9869 and 9875 by Prime method
- Least Common Multiple of 9869 and 9875 with GCF Formula
LCM of 9869 and 9875 is 97456375
Least common multiple can be found by multiplying the highest exponent prime factors of 9869 and 9875. First we will calculate the prime factors of 9869 and 9875.
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 9875
| 5 | 9875 |
| 5 | 1975 |
| 5 | 395 |
| 79 | 79 |
| 1 |
Prime factors of 9875 are 5,79. Prime factorization of 9875 in exponential form is:
9875 = 53×791
Now multiplying the highest exponent prime factors to calculate the LCM of 9869 and 9875.
LCM(9869,9875) = 53×711×791×1391
LCM(9869,9875) = 97456375
Factors of 9869
List of positive integer factors of 9869 that divides 9869 without a remainder.
1, 71, 139, 9869
Factors of 9875
List of positive integer factors of 9875 that divides 9875 without a remainder.
1, 5, 25, 79, 125, 395, 1975, 9875
Least Common Multiple of 9869 and 9875 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 9875, than apply into the LCM equation.
GCF(9869,9875) = 1
LCM(9869,9875) = ( 9869 × 9875) / 1
LCM(9869,9875) = 97456375 / 1
LCM(9869,9875) = 97456375
Properties of LCM 9869 and 9875
(i) The LCM of 9875 and 9869 is associative
LCM of 9869 and 9875 = LCM of 9875 and 9869
Related Least Common Multiples of 9869
Related Least Common Multiples of 9875
Frequently Asked Questions on LCM of 9869 and 9875
1. What is the LCM of 9869 and 9875?
Answer: LCM of 9869 and 9875 is 97456375.
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 9875?
Answer: Factors of 9875 are 1, 5, 25, 79, 125, 395, 1975, 9875. There are 8 integers that are factors of 9875. The greatest factor of 9875 is 9875.
4. How to Find the LCM of 9869 and 9875?
Answer:
Least Common Multiple of 9869 and 9875 = 97456375
Step 1: Find the prime factorization of 9869
9869 = 71 x 139
Step 2: Find the prime factorization of 9875
9875 = 5 x 5 x 5 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97456375 = 5 x 5 x 5 x 71 x 79 x 139
Step 4: Therefore, the least common multiple of 9869 and 9875 is 97456375.