LCM of 9 and 18

LCM of 9 and 18 is 18. The common multiple which is divisible evenly by the given numbers is the LCM. The least common multiple of 9 and 18 can be found from the smallest common multiples. (9, 18, 27, 36, 45, ….) are the multiples of 9 and (18, 36, 54, 72, 90, ….) are the multiples of 18 respectively. Division, prime factorisation and listing the multiples are the methods used to find the LCM.

Also read: Least common multiple

What is LCM of 9 and 18?

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

How to Find LCM of 9 and 18?

LCM of 9 and 18 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 9 and 18 Using Prime Factorisation Method

The prime factorisation of 9 and 18, respectively, is given by:

9 = 3 x 3 = 3² 

18 = 2 x 3 x 3 = 2¹ x 3² 

LCM (9, 18) = 18

LCM of 9 and 18 Using Division Method

We’ll divide the numbers (9, 18) by their prime factors to get the LCM of 9 and 18 using the division method (preferably common). The LCM of 9 and 18 is calculated by multiplying these divisors.

No further division can be done. 

Hence, LCM (9, 18) = 18

LCM of 9 and 18 Using Listing the Multiples

To calculate the LCM of 9 and 18 by listing out the common multiples, list the multiples as shown below

LCM (9, 18) = 18

Related Articles

• HCF and LCM
• Prime Factorization
• LCM calculator
• Prime Factorization Calculator

Video Lesson on Applications of LCM

LCM of 9 and 18 Solved Example 

Question: The product of two numbers is 162. If the GCD is 9, find the LCM.

Solution:

Given 

GCF = 9

Product of two numbers = 162

We know that;

LCM x GCD = product of two numbers

LCM x 9 = 162

LCM = 162/9 = 18

Therefore, the LCM is 18.