LCM of 11 and 33 is 33. LCM is the method to find the smallest possible multiple of two or more numbers. Students can rely on the LCM of Two Numbers for effective learning of the LCM concept. The main purpose of creating such a vital resource for students is to help them clear their doubts instantly and make their learning process more interesting. Let us learn the simple technique of representing the least common multiple of 11 and 33 using prime factorisation, division method and a list of multiples in this article.
What is LCM of 11 and 33?
The Least Common Multiple of 11 and 33 is 33.
How to Find LCM of 11 and 33?
LCM of 11 and 33 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 11 and 33 Using Prime Factorisation Method
In this method, the given natural numbers are written as the product of prime factors. The least common multiple will be the product of all prime factors with the highest degree. Hence, the numbers 11 and 33 can be represented as;
11 = 11
33 = 3 × 11
LCM (11, 33) = 3 × 11 = 33
LCM of 11 and 33 Using Division Method
In the division method, to find the least common multiple of 11 and 33, we divide the numbers 11 and 33 by their prime factors until we get the result as one in the complete row. The product of these divisors denotes the least common multiple of 11 and 33.
| 3 | 11 | 33 |
| 11 | 11 | 11 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (11, 33) = 3 × 11 = 33
LCM of 11 and 33 Using Listing the Multiples
In this method, we list the multiples of given natural numbers to calculate the lowest common multiple among them. Check the multiples of 11 and 33 from the table mentioned below.
| Multiples of 11 | Multiples of 33 |
| 11 | 33 |
| 22 | 66 |
| 33 | 99 |
| 44 | 132 |
| 55 | 165 |
LCM (11, 33) = 33
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by both 11 and 33?
Solution: 33 is the smallest number that is divisible by both 11 and 33.
2. The GCD and LCM of two numbers are 11 and 33. If one number is 33, calculate the other number.
Solution: Let the other number be p
We know that,
GCD × LCM = 33 × p
p = (GCD × LCM) / 33
p = (11 × 33) / 33
p = 11
Hence the other number is 11.
Frequently Asked Questions on LCM of 11 and 33
What is the LCM of 11 and 33?
Is the LCM of 11 and 33 the same as the HCF of 11 and 33?
What are the methods used to find the LCM of 11 and 33?
The LCM of 11 and 33 can be obtained by using the following methods
Prime Factorisation
Division method
Listing the Multiples
Calculate the GCF if the LCM of 11 and 33 is 33.
GCF × LCM = 11 × 33
Given
LCM = 33
GCF × 33 = 11 × 33
GCF = 11
Comments