Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9863 and 9867 the smallest integer that is 97318221 that is divisible by both numbers.
Least Common Multiple (LCM) of 9863 and 9867 is 97318221.
LCM(9863,9867) = 97318221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9863 and 9867. First we will calculate the prime factors of 9863 and 9867.
Prime Factorization of 9863
7 | 9863 |
1409 | 1409 |
1 |
Prime factors of 9863 are 7,1409. Prime factorization of 9863 in exponential form is:
9863 = 71×14091
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 9863 and 9867.
LCM(9863,9867) = 31×71×111×131×231×14091
LCM(9863,9867) = 97318221
Factors of 9863
List of positive integer factors of 9863 that divides 9863 without a remainder.
1, 7, 1409, 9863
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9863 and 9867, than apply into the LCM equation.
GCF(9863,9867) = 1
LCM(9863,9867) = ( 9863 × 9867) / 1
LCM(9863,9867) = 97318221 / 1
LCM(9863,9867) = 97318221
(i) The LCM of 9867 and 9863 is associative
LCM of 9863 and 9867 = LCM of 9867 and 9863
1. What is the LCM of 9863 and 9867?
Answer: LCM of 9863 and 9867 is 97318221.
2. What are the Factors of 9863?
Answer: Factors of 9863 are 1, 7, 1409, 9863. There are 4 integers that are factors of 9863. The greatest factor of 9863 is 9863.
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 9863 and 9867?
Answer:
Least Common Multiple of 9863 and 9867 = 97318221
Step 1: Find the prime factorization of 9863
9863 = 7 x 1409
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 = 97318221 = 3 x 7 x 11 x 13 x 23 x 1409
Step 4: Therefore, the least common multiple of 9863 and 9867 is 97318221.