Least Common Multiple of 9331 and 9338
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9331 and 9338 the smallest integer that is 12447554 that is divisible by both numbers.
Least Common Multiple (LCM) of 9331 and 9338 is 12447554.
LCM(9331,9338) = 12447554
LCM of 9331 and 9338
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9331 and 9338 by Prime method
- Least Common Multiple of 9331 and 9338 with GCF Formula
LCM of 9331 and 9338 is 12447554
Least common multiple can be found by multiplying the highest exponent prime factors of 9331 and 9338. First we will calculate the prime factors of 9331 and 9338.
Prime Factorization of 9331
| 7 | 9331 |
| 31 | 1333 |
| 43 | 43 |
| 1 |
Prime factors of 9331 are 7, 31,43. Prime factorization of 9331 in exponential form is:
9331 = 71×311×431
Prime Factorization of 9338
| 2 | 9338 |
| 7 | 4669 |
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 9338 are 2, 7, 23,29. Prime factorization of 9338 in exponential form is:
9338 = 21×71×231×291
Now multiplying the highest exponent prime factors to calculate the LCM of 9331 and 9338.
LCM(9331,9338) = 21×71×231×291×311×431
LCM(9331,9338) = 12447554
Factors of 9331
List of positive integer factors of 9331 that divides 9331 without a remainder.
1, 7, 31, 43, 217, 301, 1333, 9331
Factors of 9338
List of positive integer factors of 9338 that divides 9338 without a remainder.
1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338
Least Common Multiple of 9331 and 9338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9331 and 9338, than apply into the LCM equation.
GCF(9331,9338) = 7
LCM(9331,9338) = ( 9331 × 9338) / 7
LCM(9331,9338) = 87132878 / 7
LCM(9331,9338) = 12447554
Properties of LCM 9331 and 9338
(i) The LCM of 9338 and 9331 is associative
LCM of 9331 and 9338 = LCM of 9338 and 9331
Related Least Common Multiples of 9331
Related Least Common Multiples of 9338
Frequently Asked Questions on LCM of 9331 and 9338
1. What is the LCM of 9331 and 9338?
Answer: LCM of 9331 and 9338 is 12447554.
2. What are the Factors of 9331?
Answer: Factors of 9331 are 1, 7, 31, 43, 217, 301, 1333, 9331. There are 8 integers that are factors of 9331. The greatest factor of 9331 is 9331.
3. What are the Factors of 9338?
Answer: Factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338. There are 16 integers that are factors of 9338. The greatest factor of 9338 is 9338.
4. How to Find the LCM of 9331 and 9338?
Answer:
Least Common Multiple of 9331 and 9338 = 12447554
Step 1: Find the prime factorization of 9331
9331 = 7 x 31 x 43
Step 2: Find the prime factorization of 9338
9338 = 2 x 7 x 23 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12447554 = 2 x 7 x 23 x 29 x 31 x 43
Step 4: Therefore, the least common multiple of 9331 and 9338 is 12447554.