LCM of 18 and 17

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.

lcm of 18 and 17

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. 

2

18

17

3

9

17

3

3

17

17

1

17

×

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? 

Frequently Asked Questions on LCM of 18 and 17

Q1

What is the LCM of 18 and 17?

The LCM of 18 and 17 is 306.
Q2

Is the LCM of 18 and 17 same as the HCF of 18 and 17?

No. Least Common Multiple of 18 and 17 is 306 and the HIghest Common Factor of 18 and 17 is 1.
Q3

Is the LCM and LCD both the same for 18 and 17?

Yes. The Least Common Multiple and Lowest Common Divisor are both the same for 18 and 17, which is 306.
Q4

What are the first 3 common multiples of 18 and 17?

The first three common multiples of 18 and 17 are 306, 612, and 918.
Q5

Is the LCM of 18 and 8 same as the LCM of 17 and 7?

No. LCM of 18 and 8 is 72, whereas the LCM of 17 and 7 is 119. They are not the same.

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