Least Common Multiple of 9859 and 9867
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9859 and 9867 the smallest integer that is 97278753 that is divisible by both numbers.
Least Common Multiple (LCM) of 9859 and 9867 is 97278753.
LCM(9859,9867) = 97278753
LCM of 9859 and 9867
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9859 and 9867 by Prime method
- Least Common Multiple of 9859 and 9867 with GCF Formula
LCM of 9859 and 9867 is 97278753
Least common multiple can be found by multiplying the highest exponent prime factors of 9859 and 9867. First we will calculate the prime factors of 9859 and 9867.
Prime Factorization of 9859
| 9859 | 9859 |
| 1 |
Prime factors of 9859 are 9859. Prime factorization of 9859 in exponential form is:
9859 = 98591
Prime Factorization of 9867
| 3 | 9867 |
| 11 | 3289 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 9867 are 3, 11, 13,23. Prime factorization of 9867 in exponential form is:
9867 = 31×111×131×231
Now multiplying the highest exponent prime factors to calculate the LCM of 9859 and 9867.
LCM(9859,9867) = 31×111×131×231×98591
LCM(9859,9867) = 97278753
Factors of 9859
List of positive integer factors of 9859 that divides 9859 without a remainder.
1, 9859
Factors of 9867
List of positive integer factors of 9867 that divides 9867 without a remainder.
1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867
Least Common Multiple of 9859 and 9867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9859 and 9867, than apply into the LCM equation.
GCF(9859,9867) = 1
LCM(9859,9867) = ( 9859 × 9867) / 1
LCM(9859,9867) = 97278753 / 1
LCM(9859,9867) = 97278753
Properties of LCM 9859 and 9867
(i) The LCM of 9867 and 9859 is associative
LCM of 9859 and 9867 = LCM of 9867 and 9859
Related Least Common Multiples of 9859
Related Least Common Multiples of 9867
Frequently Asked Questions on LCM of 9859 and 9867
1. What is the LCM of 9859 and 9867?
Answer: LCM of 9859 and 9867 is 97278753.
2. What are the Factors of 9859?
Answer: Factors of 9859 are 1, 9859. There are 2 integers that are factors of 9859. The greatest factor of 9859 is 9859.
3. What are the Factors of 9867?
Answer: Factors of 9867 are 1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867. There are 16 integers that are factors of 9867. The greatest factor of 9867 is 9867.
4. How to Find the LCM of 9859 and 9867?
Answer:
Least Common Multiple of 9859 and 9867 = 97278753
Step 1: Find the prime factorization of 9859
9859 = 9859
Step 2: Find the prime factorization of 9867
9867 = 3 x 11 x 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97278753 = 3 x 11 x 13 x 23 x 9859
Step 4: Therefore, the least common multiple of 9859 and 9867 is 97278753.