Least Common Multiple of 9333 and 9337
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 9337 the smallest integer that is 87142221 that is divisible by both numbers.
Least Common Multiple (LCM) of 9333 and 9337 is 87142221.
LCM(9333,9337) = 87142221
LCM of 9333 and 9337
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9333 and 9337 by Prime method
- Least Common Multiple of 9333 and 9337 with GCF Formula
LCM of 9333 and 9337 is 87142221
Least common multiple can be found by multiplying the highest exponent prime factors of 9333 and 9337. First we will calculate the prime factors of 9333 and 9337.
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 9337
| 9337 | 9337 |
| 1 |
Prime factors of 9337 are 9337. Prime factorization of 9337 in exponential form is:
9337 = 93371
Now multiplying the highest exponent prime factors to calculate the LCM of 9333 and 9337.
LCM(9333,9337) = 32×171×611×93371
LCM(9333,9337) = 87142221
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 9337
List of positive integer factors of 9337 that divides 9337 without a remainder.
1, 9337
Least Common Multiple of 9333 and 9337 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 9337, than apply into the LCM equation.
GCF(9333,9337) = 1
LCM(9333,9337) = ( 9333 × 9337) / 1
LCM(9333,9337) = 87142221 / 1
LCM(9333,9337) = 87142221
Properties of LCM 9333 and 9337
(i) The LCM of 9337 and 9333 is associative
LCM of 9333 and 9337 = LCM of 9337 and 9333
Related Least Common Multiples of 9333
Related Least Common Multiples of 9337
Frequently Asked Questions on LCM of 9333 and 9337
1. What is the LCM of 9333 and 9337?
Answer: LCM of 9333 and 9337 is 87142221.
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 9337?
Answer: Factors of 9337 are 1, 9337. There are 2 integers that are factors of 9337. The greatest factor of 9337 is 9337.
4. How to Find the LCM of 9333 and 9337?
Answer:
Least Common Multiple of 9333 and 9337 = 87142221
Step 1: Find the prime factorization of 9333
9333 = 3 x 3 x 17 x 61
Step 2: Find the prime factorization of 9337
9337 = 9337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87142221 = 3 x 3 x 17 x 61 x 9337
Step 4: Therefore, the least common multiple of 9333 and 9337 is 87142221.