LCM of 11 and 20 is 220. LCM of 11 and 20 is the smallest number among all common multiples of 11 and 20. The first few multiples of 11 and 20 are (11, 22, 33, 44, 55, . . . ) and (20, 40, 60, 80, 100, . . . ) respectively. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. The LCM can be found easily by using various methods like prime factorisation, division and by listing the multiples.
Also read: Least common multiple
What is LCM of 11 and 20?
The answer to this question is 220. The LCM of 11 and 20 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 11 and 20, is the smallest positive integer 220 which is divisible by both 11 and 20 with no remainder.
How to Find LCM of 11 and 20?
LCM of 11 and 20 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 11 and 20 Using Prime Factorisation Method
The prime factorisation of 11 and 20, respectively, is given by:
(11) = 111 and
20 = (2 × 2 × 5) = 22 × 51
LCM (11, 20) = 220
LCM of 11 and 20 Using Division Method
We’ll divide the numbers (11, 20) by their prime factors to get the LCM of 11 and 20 using the division method (preferably common). The LCM of 11 and 20 is calculated by multiplying these divisors.
| 2 | 11 | 20 |
| 2 | 11 | 10 |
| 5 | 11 | 5 |
| 11 | 11 | 1 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (11, 20) = 220
LCM of 11 and 20 Using Listing the Multiples
To calculate the LCM of 11 and 20 by listing out the common multiples, list the multiples as shown below.
| Multiples of 11 | Multiples of 20 |
| 11 | 20 |
| 22 | 40 |
| 33 | 60 |
| …. | ….. |
| 220 | 220 |
The smallest common multiple of 11 and 20 is 220.
Therefore LCM (11, 20) = 220
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LCM of 11 and 20 Solved Example
The GCD and LCM of two numbers are 1 and 220 respectively. If one number is 11, find the other number.
Solution:
Let the other number be y.
∵ GCD × LCM = 11 × y
⇒ y = (GCD × LCM)/11
⇒ y = (1 × 220)/11
⇒ y = 20
Therefore, the other number is 20.
Frequently Asked Questions on LCM of 11 and 20
What is the LCM of 11 and 20?
List the methods used to find the LCM of 11 and 20.
What is the Relation Between GCF and LCM of 11, 20?
If the LCM of 20 and 11 is 220, Find its GCF.
Since the LCM of 20 and 11 = 220
⇒ 220 × GCF(20, 11) = 220
Therefore, the greatest common factor = 220/220 = 1.
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