LCM of 9 and 17 is 153. Among all common multiples of 9 and 17, LCM of 9 and 17 is the least number. (9, 18, 27, 36, 45,…) and (17, 34, 51, 68,…) are the first few multiples of 9 and 17. Listing multiples, division technique, and prime factorization are the three most frequent ways to find the LCM of 9 and 17. The LCM of any two integers in math is the value that is evenly divisible by the two values.
Also read: Least common multiple
What is LCM of 9 and 17?
The answer to this question is 153. The LCM of 9 and 17 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 9 and 17, is the smallest positive integer 153 which is divisible by both 9 and 17 with no remainder.
How to Find LCM of 9 and 17?
LCM of 9 and 17 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 9 and 17 Using Prime Factorisation Method
The prime factorisation of 9 and 17, respectively, is given by:
9 = (3 × 3) = 32 and
(17) = 171
LCM (9, 17) = 153
LCM of 9 and 17 Using Division Method
We’ll divide the numbers (9, 17) by their prime factors to get the LCM of 9 and 17 using the division method (preferably common). The LCM of 9 and 17 is calculated by multiplying these divisors.
| 3 | 9 | 17 |
| 3 | 3 | 17 |
| 17 | 1 | 17 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (9, 17) = 153
LCM of 9 and 17 Using Listing the Multiples
To calculate the LCM of 9 and 17 by listing out the common multiples, list the multiples as shown below
| Multiples of 9 | Multiples of 17 |
| 9 | 17 |
| 18 | 34 |
| 27 | 51 |
| …. | …. |
| 153 | 153 |
The smallest common multiple of 9 and 17 is 153.
Therefore LCM (9, 17) = 153
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LCM of 9 and 17 Solved Example
The product of two numbers is 153. If their GCD is 1, what is their LCM?
Solution:
Given: GCD = 1
product of numbers = 153
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 153/1
Therefore, the LCM is 153.
The probable combination for the given case is LCM(9, 17) = 153.
Frequently Asked Questions on LCM of 9 and 17
What is the LCM of 9 and 17?
List the methods used to find the LCM of 9 and 17.
Which of the following is the LCM of 9 and 17? 153, 28, 27, 3
What is the Relation Between GCF and LCM of 9, 17?
If the LCM of 17 and 9 is 153, Find its GCF.
Since the LCM of 17 and 9 = 153
⇒ 153 × GCF(17, 9) = 153
Therefore, the GCF = 153/153 = 1.
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