Least Common Multiple of 9159 and 9167
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 9167 the smallest integer that is 83960553 that is divisible by both numbers.
Least Common Multiple (LCM) of 9159 and 9167 is 83960553.
LCM(9159,9167) = 83960553
LCM of 9159 and 9167
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9159 and 9167 by Prime method
- Least Common Multiple of 9159 and 9167 with GCF Formula
LCM of 9159 and 9167 is 83960553
Least common multiple can be found by multiplying the highest exponent prime factors of 9159 and 9167. First we will calculate the prime factors of 9159 and 9167.
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 9167
| 89 | 9167 |
| 103 | 103 |
| 1 |
Prime factors of 9167 are 89,103. Prime factorization of 9167 in exponential form is:
9167 = 891×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 9159 and 9167.
LCM(9159,9167) = 31×431×711×891×1031
LCM(9159,9167) = 83960553
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 9167
List of positive integer factors of 9167 that divides 9167 without a remainder.
1, 89, 103, 9167
Least Common Multiple of 9159 and 9167 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 9167, than apply into the LCM equation.
GCF(9159,9167) = 1
LCM(9159,9167) = ( 9159 × 9167) / 1
LCM(9159,9167) = 83960553 / 1
LCM(9159,9167) = 83960553
Properties of LCM 9159 and 9167
(i) The LCM of 9167 and 9159 is associative
LCM of 9159 and 9167 = LCM of 9167 and 9159
Related Least Common Multiples of 9159
Related Least Common Multiples of 9167
Frequently Asked Questions on LCM of 9159 and 9167
1. What is the LCM of 9159 and 9167?
Answer: LCM of 9159 and 9167 is 83960553.
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 9167?
Answer: Factors of 9167 are 1, 89, 103, 9167. There are 4 integers that are factors of 9167. The greatest factor of 9167 is 9167.
4. How to Find the LCM of 9159 and 9167?
Answer:
Least Common Multiple of 9159 and 9167 = 83960553
Step 1: Find the prime factorization of 9159
9159 = 3 x 43 x 71
Step 2: Find the prime factorization of 9167
9167 = 89 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83960553 = 3 x 43 x 71 x 89 x 103
Step 4: Therefore, the least common multiple of 9159 and 9167 is 83960553.