LCM of 9 and 36

LCM of 9 and 36 is 36. The smallest number among all common multiples of 9 and 36 is the LCM of 9 and 36. (9, 18, 27, 36, 45, etc.) and (36, 72, 108, 144, etc.) are the first few multiples of 9 and 36, respectively. To find the LCM of Two Numbers that is 9 and 36, there are three main methods: listing multiples, division method, and prime factorization.

What is LCM of 9 and 36?

The answer to this question is 36. The LCM of 9 and 36 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 9 and 36, is the smallest positive integer 36 which is divisible by both 9 and 36 with no remainder.

Also read: Least common multiple

How to Find LCM of 9 and 36?

LCM of 9 and 36 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 9 and 36 Using Prime Factorisation Method

The prime factorisation of 9 and 36, respectively, is given by:

9 = (3 × 3) = 3² and

36 = (2 × 2 × 3 × 3) = 2² × 3²

LCM (9, 36) = 36

LCM of 9 and 36 Using Division Method

We’ll divide the numbers (9, 36) by their prime factors to get the LCM of 9 and 36 using the division method (preferably common). The LCM of 9 and 36 is calculated by multiplying these divisors.

No further division can be done.

Hence, LCM (9, 36) = 2 x 2 x 3 x 3 = 36

LCM of 9 and 36 Using Listing the Multiples

To calculate the LCM of 9 and 36 by listing out the common multiples, list the multiples as shown below

The smallest common multiple of 9 and 36 is 36.

LCM (9, 36) = 36

Related Articles

• Prime Factorization and Division Method for LCM and HCF
• Prime Factors

• Properties of HCF and LCM
• LCM Formula

Video Lesson on Applications of LCM

LCM of 9 and 36 Solved Example

Question: The product of two numbers is 324. If their GCD is 9, what is their LCM?

Solution:

Given: GCD = 9

product of numbers = 324

LCM × GCD = product of numbers

LCM = Product/GCD = 324/9

Therefore, the LCM is 36.

The probable combination for the given case is LCM(9, 36) = 36.