Least Common Multiple of 9333 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 9333 and 9338 the smallest integer that is 87151554 that is divisible by both numbers.
Least Common Multiple (LCM) of 9333 and 9338 is 87151554.
LCM(9333,9338) = 87151554
LCM of 9333 and 9338
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9333 and 9338 by Prime method
- Least Common Multiple of 9333 and 9338 with GCF Formula
LCM of 9333 and 9338 is 87151554
Least common multiple can be found by multiplying the highest exponent prime factors of 9333 and 9338. First we will calculate the prime factors of 9333 and 9338.
Prime Factorization of 9333
| 3 | 9333 |
| 3 | 3111 |
| 17 | 1037 |
| 61 | 61 |
| 1 |
Prime factors of 9333 are 3, 17,61. Prime factorization of 9333 in exponential form is:
9333 = 32×171×611
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 9333 and 9338.
LCM(9333,9338) = 21×32×71×171×231×291×611
LCM(9333,9338) = 87151554
Factors of 9333
List of positive integer factors of 9333 that divides 9333 without a remainder.
1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333
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 9333 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 9333 and 9338, than apply into the LCM equation.
GCF(9333,9338) = 1
LCM(9333,9338) = ( 9333 × 9338) / 1
LCM(9333,9338) = 87151554 / 1
LCM(9333,9338) = 87151554
Properties of LCM 9333 and 9338
(i) The LCM of 9338 and 9333 is associative
LCM of 9333 and 9338 = LCM of 9338 and 9333
Related Least Common Multiples of 9333
Related Least Common Multiples of 9338
Frequently Asked Questions on LCM of 9333 and 9338
1. What is the LCM of 9333 and 9338?
Answer: LCM of 9333 and 9338 is 87151554.
2. What are the Factors of 9333?
Answer: Factors of 9333 are 1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333. There are 12 integers that are factors of 9333. The greatest factor of 9333 is 9333.
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 9333 and 9338?
Answer:
Least Common Multiple of 9333 and 9338 = 87151554
Step 1: Find the prime factorization of 9333
9333 = 3 x 3 x 17 x 61
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 = 87151554 = 2 x 3 x 3 x 7 x 17 x 23 x 29 x 61
Step 4: Therefore, the least common multiple of 9333 and 9338 is 87151554.