LCM of 2 and 9

LCM of 2 and 9 is 18. The LCM of any two integers in mathematics is the value that is evenly divisible by the two values. The smallest number among all common multiples of 2 and 9 is the LCM of 2 and 9. (2, 4, 6, 8, 10, etc.) and (9, 18, 27, 36, etc.) are the first few multiples of 2 and 9. To find the LCM of 2 and 9, you can use one of three methods: listing multiples, prime factorization, or the division method.

Also read: Least common multiple

What is LCM of 2 and 9?

The answer to this question is 18. The LCM of 2 and 9 using various methods are shown in this article for your reference. The LCM of two non-zero integers, 2 and 9, is the smallest positive integer 18 which is divisible by both 2 and 9 with no remainder.

How to Find LCM of 2 and 9?

LCM of 2 and 9 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 2 and 9 Using Prime Factorisation Method

The prime factorisation of 2 and 9, respectively, is given by:

(2) = 2¹ and (3 × 3) = 3²

LCM (2, 9) = 18

LCM of 2 and 9 Using Division Method

We’ll divide the numbers (2, 9) by their prime factors to get the LCM of 2 and 9 using the division method (preferably common). The LCM of 2 and 9 is calculated by multiplying these divisors.

No further division can be done.

Hence, LCM (2, 9) = 18

LCM of 2 and 9 Using Listing the Multiples

To calculate the LCM of 2 and 9 by listing out the common multiples, list the multiples as shown below

The smallest common multiple of 2 and 9 is 18.

LCM (2, 9) = 18

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• HCF and LCM
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• LCM calculator
• Prime Factorization Calculator

Video Lesson on Applications of LCM

LCM of 2 and 9 Solved Example

Question: The GCD and LCM of two numbers are 1 and 18 respectively. If one number is 9, find the other number.

Solution:

Let the other number be b.

∵ GCD × LCM = 9 × b

⇒ b = (GCD × LCM)/9

⇒ b = (1 × 18)/9

⇒ b = 2

Therefore, the other number is 2.