Least Common Multiple of 17238 and 17245
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17238 and 17245 the smallest integer that is 297269310 that is divisible by both numbers.
Least Common Multiple (LCM) of 17238 and 17245 is 297269310.
LCM(17238,17245) = 297269310
LCM of 17238 and 17245
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17238 and 17245 by Prime method
- Least Common Multiple of 17238 and 17245 with GCF Formula
LCM of 17238 and 17245 is 297269310
Least common multiple can be found by multiplying the highest exponent prime factors of 17238 and 17245. First we will calculate the prime factors of 17238 and 17245.
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
Prime Factorization of 17245
| 5 | 17245 |
| 3449 | 3449 |
| 1 |
Prime factors of 17245 are 5,3449. Prime factorization of 17245 in exponential form is:
17245 = 51×34491
Now multiplying the highest exponent prime factors to calculate the LCM of 17238 and 17245.
LCM(17238,17245) = 21×31×51×132×171×34491
LCM(17238,17245) = 297269310
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
Factors of 17245
List of positive integer factors of 17245 that divides 17245 without a remainder.
1, 5, 3449, 17245
Least Common Multiple of 17238 and 17245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17238 and 17245, than apply into the LCM equation.
GCF(17238,17245) = 1
LCM(17238,17245) = ( 17238 × 17245) / 1
LCM(17238,17245) = 297269310 / 1
LCM(17238,17245) = 297269310
Properties of LCM 17238 and 17245
(i) The LCM of 17245 and 17238 is associative
LCM of 17238 and 17245 = LCM of 17245 and 17238
Related Least Common Multiples of 17238
Related Least Common Multiples of 17245
Frequently Asked Questions on LCM of 17238 and 17245
1. What is the LCM of 17238 and 17245?
Answer: LCM of 17238 and 17245 is 297269310.
2. 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.
3. What are the Factors of 17245?
Answer: Factors of 17245 are 1, 5, 3449, 17245. There are 4 integers that are factors of 17245. The greatest factor of 17245 is 17245.
4. How to Find the LCM of 17238 and 17245?
Answer:
Least Common Multiple of 17238 and 17245 = 297269310
Step 1: Find the prime factorization of 17238
17238 = 2 x 3 x 13 x 13 x 17
Step 2: Find the prime factorization of 17245
17245 = 5 x 3449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 297269310 = 2 x 3 x 5 x 13 x 13 x 17 x 3449
Step 4: Therefore, the least common multiple of 17238 and 17245 is 297269310.