LCM of 18 and 17 is 306. LCM stands for Least Common Multiple also termed as Lowest Common Multiple, is the smallest number that is divisible by the given set of numbers. Consider the example for finding the LCM of 18 and 17. The answer is 306. 306 is divisible by both 18 and 17. Even 612 is divisible by 18 and 17, however it is not the LCM for 18 and 17. The smaller number than 612 is 306 which is divisible by both 18 and 17. Hence 306 is the Least Common Multiple for 18 and 17. You can use the Prime Factorization and Division method to find the LCM of any 2 numbers.
What is LCM of 18 and 17
The Least Common Multiple or Lowest Common Multiple of 18 and 17 is 306.
How to Find LCM of 18 and 17?
LCM of 18 and 17 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 18 and 17 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 18 and 17 can be expressed as;
18 = 2 × 3 × 3
17 = 1 × 17
17 is a prime number that is multiplied by the prime factors of 18 to get the LCM.
LCM (18, 17) = 2 × 3 × 3 × 17 = 306
LCM of 18 and 17 Using Division Method
In the Division Method, 17 and 18 are divided by prime factors. Since 17 is a prime number, and has no other prime factors, 17 is multiplied by other prime factors of 18 to get the LCM.
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2 |
18 |
17 |
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3 |
9 |
17 |
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3 |
3 |
17 |
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17 |
1 |
17 |
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× |
1 |
1 |
LCM (18, 17) = 2 × 3 × 3 × 17 = 306
LCM of 18 and 17 Using Listing the Multiples
By listing all the multiples of 18 and 17, we can identify the LCM. Below is the list of multiples for 18 and 17
Multiples of 18:
18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342…
Multiples of 17:
17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340…
LCM (18, 17) = 306
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 18 and 17?
Answer: 306 is the smallest number that is divisible by both 18 and 17.
What is the LCM for 2, 3, 18 and 17?
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