LCM of 11 and 13

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.

lcm of 11 and 13

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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Video Lesson on Applications of LCM

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

Q1

What are the Methods to Find LCM of 11 and 13?

The commonly used methods to find the LCM of 11 and 13 are:
Listing Multiples
Division Method
Prime Factorization Method
Q2

What is the LCM of 11 and 13?

The LCM of 11 and 13 is 143. To find the least common multiple (LCM) of 11 and 13, we need to find the multiples of 11 and 13 (multiples of 11 = 11, 22, 33, 44 . . . . 143; multiples of 13 = 13, 26, 39, 52 . . . . 143) and choose the smallest multiple that is exactly divisible by 11 and 13, i.e., 143.
Q3

If the LCM of 13 and 11 is 143, Find its GCF.

LCM(13, 11) × GCF(13, 11) = 13 × 11
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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