Least Common Multiple of 9162 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 9162 and 9167 the smallest integer that is 83988054 that is divisible by both numbers.
Least Common Multiple (LCM) of 9162 and 9167 is 83988054.
LCM(9162,9167) = 83988054
LCM of 9162 and 9167
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9162 and 9167 by Prime method
- Least Common Multiple of 9162 and 9167 with GCF Formula
LCM of 9162 and 9167 is 83988054
Least common multiple can be found by multiplying the highest exponent prime factors of 9162 and 9167. First we will calculate the prime factors of 9162 and 9167.
Prime Factorization of 9162
| 2 | 9162 |
| 3 | 4581 |
| 3 | 1527 |
| 509 | 509 |
| 1 |
Prime factors of 9162 are 2, 3,509. Prime factorization of 9162 in exponential form is:
9162 = 21×32×5091
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 9162 and 9167.
LCM(9162,9167) = 21×32×891×1031×5091
LCM(9162,9167) = 83988054
Factors of 9162
List of positive integer factors of 9162 that divides 9162 without a remainder.
1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162
Factors of 9167
List of positive integer factors of 9167 that divides 9167 without a remainder.
1, 89, 103, 9167
Least Common Multiple of 9162 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 9162 and 9167, than apply into the LCM equation.
GCF(9162,9167) = 1
LCM(9162,9167) = ( 9162 × 9167) / 1
LCM(9162,9167) = 83988054 / 1
LCM(9162,9167) = 83988054
Properties of LCM 9162 and 9167
(i) The LCM of 9167 and 9162 is associative
LCM of 9162 and 9167 = LCM of 9167 and 9162
Related Least Common Multiples of 9162
Related Least Common Multiples of 9167
Frequently Asked Questions on LCM of 9162 and 9167
1. What is the LCM of 9162 and 9167?
Answer: LCM of 9162 and 9167 is 83988054.
2. What are the Factors of 9162?
Answer: Factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162. There are 12 integers that are factors of 9162. The greatest factor of 9162 is 9162.
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 9162 and 9167?
Answer:
Least Common Multiple of 9162 and 9167 = 83988054
Step 1: Find the prime factorization of 9162
9162 = 2 x 3 x 3 x 509
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 = 83988054 = 2 x 3 x 3 x 89 x 103 x 509
Step 4: Therefore, the least common multiple of 9162 and 9167 is 83988054.