Least Common Multiple of 9155 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 9155 and 9163 the smallest integer that is 83887265 that is divisible by both numbers.
Least Common Multiple (LCM) of 9155 and 9163 is 83887265.
LCM(9155,9163) = 83887265
LCM of 9155 and 9163
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9155 and 9163 by Prime method
- Least Common Multiple of 9155 and 9163 with GCF Formula
LCM of 9155 and 9163 is 83887265
Least common multiple can be found by multiplying the highest exponent prime factors of 9155 and 9163. First we will calculate the prime factors of 9155 and 9163.
Prime Factorization of 9155
| 5 | 9155 |
| 1831 | 1831 |
| 1 |
Prime factors of 9155 are 5,1831. Prime factorization of 9155 in exponential form is:
9155 = 51×18311
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 9155 and 9163.
LCM(9155,9163) = 51×72×111×171×18311
LCM(9155,9163) = 83887265
Factors of 9155
List of positive integer factors of 9155 that divides 9155 without a remainder.
1, 5, 1831, 9155
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 9155 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 9155 and 9163, than apply into the LCM equation.
GCF(9155,9163) = 1
LCM(9155,9163) = ( 9155 × 9163) / 1
LCM(9155,9163) = 83887265 / 1
LCM(9155,9163) = 83887265
Properties of LCM 9155 and 9163
(i) The LCM of 9163 and 9155 is associative
LCM of 9155 and 9163 = LCM of 9163 and 9155
Related Least Common Multiples of 9155
Related Least Common Multiples of 9163
Frequently Asked Questions on LCM of 9155 and 9163
1. What is the LCM of 9155 and 9163?
Answer: LCM of 9155 and 9163 is 83887265.
2. What are the Factors of 9155?
Answer: Factors of 9155 are 1, 5, 1831, 9155. There are 4 integers that are factors of 9155. The greatest factor of 9155 is 9155.
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 9155 and 9163?
Answer:
Least Common Multiple of 9155 and 9163 = 83887265
Step 1: Find the prime factorization of 9155
9155 = 5 x 1831
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 = 83887265 = 5 x 7 x 7 x 11 x 17 x 1831
Step 4: Therefore, the least common multiple of 9155 and 9163 is 83887265.