Least Common Multiple of 17307 and 17315
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17307 and 17315 the smallest integer that is 299670705 that is divisible by both numbers.
Least Common Multiple (LCM) of 17307 and 17315 is 299670705.
LCM(17307,17315) = 299670705
LCM of 17307 and 17315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17307 and 17315 by Prime method
- Least Common Multiple of 17307 and 17315 with GCF Formula
LCM of 17307 and 17315 is 299670705
Least common multiple can be found by multiplying the highest exponent prime factors of 17307 and 17315. First we will calculate the prime factors of 17307 and 17315.
Prime Factorization of 17307
| 3 | 17307 |
| 3 | 5769 |
| 3 | 1923 |
| 641 | 641 |
| 1 |
Prime factors of 17307 are 3,641. Prime factorization of 17307 in exponential form is:
17307 = 33×6411
Prime Factorization of 17315
| 5 | 17315 |
| 3463 | 3463 |
| 1 |
Prime factors of 17315 are 5,3463. Prime factorization of 17315 in exponential form is:
17315 = 51×34631
Now multiplying the highest exponent prime factors to calculate the LCM of 17307 and 17315.
LCM(17307,17315) = 33×51×6411×34631
LCM(17307,17315) = 299670705
Factors of 17307
List of positive integer factors of 17307 that divides 17307 without a remainder.
1, 3, 9, 27, 641, 1923, 5769, 17307
Factors of 17315
List of positive integer factors of 17315 that divides 17315 without a remainder.
1, 5, 3463, 17315
Least Common Multiple of 17307 and 17315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17307 and 17315, than apply into the LCM equation.
GCF(17307,17315) = 1
LCM(17307,17315) = ( 17307 × 17315) / 1
LCM(17307,17315) = 299670705 / 1
LCM(17307,17315) = 299670705
Properties of LCM 17307 and 17315
(i) The LCM of 17315 and 17307 is associative
LCM of 17307 and 17315 = LCM of 17315 and 17307
Related Least Common Multiples of 17307
Related Least Common Multiples of 17315
Frequently Asked Questions on LCM of 17307 and 17315
1. What is the LCM of 17307 and 17315?
Answer: LCM of 17307 and 17315 is 299670705.
2. What are the Factors of 17307?
Answer: Factors of 17307 are 1, 3, 9, 27, 641, 1923, 5769, 17307. There are 8 integers that are factors of 17307. The greatest factor of 17307 is 17307.
3. What are the Factors of 17315?
Answer: Factors of 17315 are 1, 5, 3463, 17315. There are 4 integers that are factors of 17315. The greatest factor of 17315 is 17315.
4. How to Find the LCM of 17307 and 17315?
Answer:
Least Common Multiple of 17307 and 17315 = 299670705
Step 1: Find the prime factorization of 17307
17307 = 3 x 3 x 3 x 641
Step 2: Find the prime factorization of 17315
17315 = 5 x 3463
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 299670705 = 3 x 3 x 3 x 5 x 641 x 3463
Step 4: Therefore, the least common multiple of 17307 and 17315 is 299670705.