Least Common Multiple of 9159 and 9163
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9159 and 9163 the smallest integer that is 83923917 that is divisible by both numbers.
Least Common Multiple (LCM) of 9159 and 9163 is 83923917.
LCM(9159,9163) = 83923917
LCM of 9159 and 9163
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9159 and 9163 by Prime method
- Least Common Multiple of 9159 and 9163 with GCF Formula
LCM of 9159 and 9163 is 83923917
Least common multiple can be found by multiplying the highest exponent prime factors of 9159 and 9163. First we will calculate the prime factors of 9159 and 9163.
Prime Factorization of 9159
| 3 | 9159 |
| 43 | 3053 |
| 71 | 71 |
| 1 |
Prime factors of 9159 are 3, 43,71. Prime factorization of 9159 in exponential form is:
9159 = 31×431×711
Prime Factorization of 9163
| 7 | 9163 |
| 7 | 1309 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 9163 are 7, 11,17. Prime factorization of 9163 in exponential form is:
9163 = 72×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 9159 and 9163.
LCM(9159,9163) = 31×72×111×171×431×711
LCM(9159,9163) = 83923917
Factors of 9159
List of positive integer factors of 9159 that divides 9159 without a remainder.
1, 3, 43, 71, 129, 213, 3053, 9159
Factors of 9163
List of positive integer factors of 9163 that divides 9163 without a remainder.
1, 7, 11, 17, 49, 77, 119, 187, 539, 833, 1309, 9163
Least Common Multiple of 9159 and 9163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9159 and 9163, than apply into the LCM equation.
GCF(9159,9163) = 1
LCM(9159,9163) = ( 9159 × 9163) / 1
LCM(9159,9163) = 83923917 / 1
LCM(9159,9163) = 83923917
Properties of LCM 9159 and 9163
(i) The LCM of 9163 and 9159 is associative
LCM of 9159 and 9163 = LCM of 9163 and 9159
Related Least Common Multiples of 9159
Related Least Common Multiples of 9163
Frequently Asked Questions on LCM of 9159 and 9163
1. What is the LCM of 9159 and 9163?
Answer: LCM of 9159 and 9163 is 83923917.
2. What are the Factors of 9159?
Answer: Factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159. There are 8 integers that are factors of 9159. The greatest factor of 9159 is 9159.
3. What are the Factors of 9163?
Answer: Factors of 9163 are 1, 7, 11, 17, 49, 77, 119, 187, 539, 833, 1309, 9163. There are 12 integers that are factors of 9163. The greatest factor of 9163 is 9163.
4. How to Find the LCM of 9159 and 9163?
Answer:
Least Common Multiple of 9159 and 9163 = 83923917
Step 1: Find the prime factorization of 9159
9159 = 3 x 43 x 71
Step 2: Find the prime factorization of 9163
9163 = 7 x 7 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83923917 = 3 x 7 x 7 x 11 x 17 x 43 x 71
Step 4: Therefore, the least common multiple of 9159 and 9163 is 83923917.