LCM of 9 and 45

LCM of 9 and 45 is 45. Students can learn how to obtain the least common multiple of 9 and 45 from the common multiples. (9, 18, 27, 36, 45, 54, ….) and (45, 90, 135, 180,….) are the multiples of 19 and 45. The process which can be used to find the LCM of two numbers is prime factorisation, division and by listing the multiples.

Also read: Least common multiple

What is LCM of 9 and 45?

The answer to this question is 45. The LCM of 9 and 45 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 9 and 45, is the smallest positive integer 45 which is divisible by both 9 and 45 with no remainder.

How to Find LCM of 9 and 45?

LCM of 9 and 45 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 9 and 45 Using Prime Factorisation Method

The prime factorisation of 9 and 45, respectively, is given by:

9 = 3 x 3 = 3² 

45 = 3 x 3 x 5 = 3² x 5¹

LCM (9, 45) = 45

LCM of 9 and 45 Using Division Method

We’ll divide the numbers (9, 45) by their prime factors to get the LCM of 9 and 45 using the division method (preferably common). The LCM of 9 and 45 is calculated by multiplying these divisors.

No further division can be done. 

Hence, LCM (9, 45) = 45

LCM of 9 and 45 Using Listing the Multiples

To calculate the LCM of 9 and 45 by listing out the common multiples, list the multiples as shown below:

LCM (9, 45) = 45

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 45 Solved Example 

Question: What is the smallest number divisible by 9 and 45 exactly?

Solution:

We know that

The smallest number exactly divisible by 9 and 45 is the LCM.

Multiples of 9 = 9, 18, 27, 36, 45, 54,…..

Multiples of 45 = 45, 90, 135, 180, ….

Hence, the LCM of 9 and 45 is 45.