LCM of 11 and 13 is 143. The smallest number among all common multiples of 11 and 13 is the LCM of 11 and 13. (11, 22, 33, 44, 55, 66, 77, etc.) and (13, 26, 39, 52, 65, 78, etc.) are the first few multiples of 11 and 13. To find the LCM of 11 and 13, you can use one of three methods: listing multiples, prime factorization, or the division method. The LCM of Two Numbers is the value that is evenly divisible by both of them in mathematics.
What is LCM of 11 and 13?
The answer to this question is 143. The LCM of 11 and 13 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 11 and 13, is the smallest positive integer 143 which is divisible by both 11 and 13 with no remainder.
Also read: Least common multiple
How to Find LCM of 11 and 13?
LCM of 11 and 13 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 11 and 13 Using Prime Factorisation Method
The prime factorisation of 11 and 13, respectively, is given by:
(11) = 111 and (13) = 131
LCM (11, 13) = 143
LCM of 11 and 13 Using Division Method
We’ll divide the numbers (11, 13) by their prime factors to get the LCM of 11 and 13 using the division method (preferably common). The LCM of 11 and 13 is calculated by multiplying these divisors.
| 11 | 11 | 13 |
| 13 | 1 | 13 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (11, 13) = 143
LCM of 11 and 13 Using Listing the Multiples
To calculate the LCM of 11 and 13 by listing out the common multiples, list the multiples as shown below:
| Multiples of 11 | Multiples of 13 |
| 11 | 13 |
| 22 | 26 |
| 33 | 39 |
| 44 | 52 |
| 55 | 78 |
| 66 | 91 |
| 77 | 104 |
| 88 | 117 |
| 99 | 130 |
| 110 | 143 |
| 121 | 156 |
| 132 | 169 |
| 143 | – |
The smallest common multiple of 11 and 13 is 143.
LCM (11, 13) = 143
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LCM of 11 and 13 Solved Example
Find the smallest number that is divisible by 11 and 13 exactly.
Solution:
The smallest number that is divisible by 11 and 13 exactly is their LCM.
⇒ Multiples of 11 and 13:
Multiples of 11 = 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, . . . .
Multiples of 13 = 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, . . . .
Therefore, the LCM of 11 and 13 is 143.
Frequently Asked Questions on LCM of 11 and 13
What are the Methods to Find LCM of 11 and 13?
Listing Multiples
Division Method
Prime Factorization Method
What is the LCM of 11 and 13?
If the LCM of 13 and 11 is 143, Find its GCF.
Since the LCM of 13 and 11 = 143
⇒ 143 × GCF(13, 11) = 143
Therefore, the greatest common factor = 143/143 = 1.
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