Least Common Multiple of 17233 and 17238
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17233 and 17238 the smallest integer that is 297062454 that is divisible by both numbers.
Least Common Multiple (LCM) of 17233 and 17238 is 297062454.
LCM(17233,17238) = 297062454
LCM of 17233 and 17238
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17233 and 17238 by Prime method
- Least Common Multiple of 17233 and 17238 with GCF Formula
LCM of 17233 and 17238 is 297062454
Least common multiple can be found by multiplying the highest exponent prime factors of 17233 and 17238. First we will calculate the prime factors of 17233 and 17238.
Prime Factorization of 17233
| 19 | 17233 |
| 907 | 907 |
| 1 |
Prime factors of 17233 are 19,907. Prime factorization of 17233 in exponential form is:
17233 = 191×9071
Prime Factorization of 17238
| 2 | 17238 |
| 3 | 8619 |
| 13 | 2873 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 17238 are 2, 3, 13,17. Prime factorization of 17238 in exponential form is:
17238 = 21×31×132×171
Now multiplying the highest exponent prime factors to calculate the LCM of 17233 and 17238.
LCM(17233,17238) = 21×31×132×171×191×9071
LCM(17233,17238) = 297062454
Factors of 17233
List of positive integer factors of 17233 that divides 17233 without a remainder.
1, 19, 907, 17233
Factors of 17238
List of positive integer factors of 17238 that divides 17238 without a remainder.
1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 169, 221, 338, 442, 507, 663, 1014, 1326, 2873, 5746, 8619, 17238
Least Common Multiple of 17233 and 17238 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17233 and 17238, than apply into the LCM equation.
GCF(17233,17238) = 1
LCM(17233,17238) = ( 17233 × 17238) / 1
LCM(17233,17238) = 297062454 / 1
LCM(17233,17238) = 297062454
Properties of LCM 17233 and 17238
(i) The LCM of 17238 and 17233 is associative
LCM of 17233 and 17238 = LCM of 17238 and 17233
Related Least Common Multiples of 17233
Related Least Common Multiples of 17238
Frequently Asked Questions on LCM of 17233 and 17238
1. What is the LCM of 17233 and 17238?
Answer: LCM of 17233 and 17238 is 297062454.
2. What are the Factors of 17233?
Answer: Factors of 17233 are 1, 19, 907, 17233. There are 4 integers that are factors of 17233. The greatest factor of 17233 is 17233.
3. What are the Factors of 17238?
Answer: Factors of 17238 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 169, 221, 338, 442, 507, 663, 1014, 1326, 2873, 5746, 8619, 17238. There are 24 integers that are factors of 17238. The greatest factor of 17238 is 17238.
4. How to Find the LCM of 17233 and 17238?
Answer:
Least Common Multiple of 17233 and 17238 = 297062454
Step 1: Find the prime factorization of 17233
17233 = 19 x 907
Step 2: Find the prime factorization of 17238
17238 = 2 x 3 x 13 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 297062454 = 2 x 3 x 13 x 13 x 17 x 19 x 907
Step 4: Therefore, the least common multiple of 17233 and 17238 is 297062454.