LCM of 11 and 121 is 121. The LCM is the method to find the least common multiple between any two or more numbers. Following the article Prime Factorisation and Division Method for LCM and HCF on a daily basis, students will improve their problem-solving and time management skills, which are vital from an exam point of view. This article is prepared in a well-structured format with different shortcut methods for better learning of the concept. Let us learn the simple way of representing the least common multiple of 11 and 121 here.
What is LCM of 11 and 121?
The Least Common Multiple of 11 and 121 is 121.
How to Find LCM of 11 and 121?
LCM of 11 and 121 can be obtained by using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 11 and 121 Using Prime Factorisation Method
In the prime factorisation method, LCM of 11 and 121 can be obtained by multiplying prime factors raised to their respective highest power.
11 = 11
121 = 11 × 11
LCM (11, 121) = 11 × 11 = 121
LCM of 11 and 121 Using Division Method
In the division method, to determine the least common multiple of 11 and 121, we divide the numbers 11 and 121 by their prime factors until we get the result as one in the complete row. The product of these divisors represents the least common multiple of 11 and 121.
| 11 | 11 | 121 |
| 11 | 1 | 11 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (11, 121) = 11 × 11 = 121
LCM of 11 and 121 Using Listing the Multiples
In this method, we list down the multiples of 11 and 121 to find the least common multiple among them. The below table shows the multiples of 11 and 121.
| Multiples of 11 | Multiples of 121 |
| 11 | 121 |
| 22 | 242 |
| 33 | 363 |
| 44 | 484 |
| 55 | 605 |
| 66 | 726 |
| 77 | 847 |
| 88 | 968 |
| 99 | 1089 |
| 110 | 1210 |
| 121 | 1331 |
LCM (11, 121) = 121
Related Articles
Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by both 11 and 121?
Solution: 121 is the smallest number that is divisible by both 11 and 121.
2. The GCD and LCM of the two numbers are 11 and 121. If one number is 121, calculate the other number.
Solution: Let the other number be r
We know that,
GCD × LCM = 121 × r
r = (GCD × LCM) / 121
r = (11 × 121) / 121
r = 11
Hence the other number is 11.
Frequently Asked Questions on LCM of 11 and 121
What is the LCM of 11 and 121?
Is the LCM of 11 and 121 the same as the HCF of 11 and 121?
Name the methods used to find the LCM of 11 and 121.
The methods used to find the LCM of 11 and 121 are as follows:
Prime Factorisation
Division method
Listing the Multiples
Using prime factorisation, determine the LCM of 11 and 121.
In this method, we write the numbers as the product of prime factors to determine the LCM
11 = 11
121 = 11 × 11
LCM (11, 121) = 11 × 11 = 121
Find the GCF if the LCM of 11 and 121 is 121.
GCF × LCM = 11 × 121
Given
LCM = 121
GCF × 121 = 11 × 121
GCF = 11
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