LCM of 13 and 26 is 26. Among all frequent multiples of 13 and 26, the LCM of 13 and 26 is the smallest. (13, 26, 39, 52, 65,..) and (26, 52, 78, 104,..) are the first few multiples of 13 and 26, respectively. Prime factorization, division, and listing multiples are the three most frequent methods for calculating the LCM of 13 and 26. There are three typical ways for calculating the LCM of 13 and 26: division, prime factorization, and listing multiples. The smallest positive integer that divides the numbers 13 and 26 without leaving a residual is the lcm of 13 and 26. It is the least common multiple of 13 and 26 when written out. The lcm of 13 and 26 can be found here, as well as three techniques for computing it.
Also read: Least common multiple
What is LCM of 13 and 26?
The answer to this question is 26. The LCM of 13 and 26 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 13 and 26, is the smallest positive integer 60 which is divisible by both 13 and 26 with no remainder.
How to Find LCM of 13 and 26?
LCM of 13 and 26 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 13 and 26 Using Prime Factorisation Method
The prime factorisation of 13 and 26, respectively, is given by:
(13) = 131 and (2 × 13) = 21 × 131
LCM (13, 26) = 26
LCM of 13 and 26 Using Division Method
We’ll divide the numbers (13, 26) by their prime factors to get the LCM of 13 and 26 using the division method (preferably common). The LCM of 13 and 26 is calculated by multiplying these divisors.
| 2 | 13 | 26 |
| 13 | 13 | 13 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (13, 26) = 26
LCM of 13 and 26 Using Listing the Multiples
To calculate the LCM of 13 and 26 by listing out the common multiples, list the multiples as shown below
| Multiples of 13 | Multiples of 26 |
| 13 | 26 |
| 26 | 52 |
| 39 | 78 |
| 52 | 104 |
The smallest common multiple of 13 and 26 is 26.
LCM (13, 26) = 26
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LCM of 13 and 26 Solved Example
The GCD and LCM of two numbers are 13 and 26 respectively. If one number is 26, find the other number.
Solution:
Let the other number be b.
∵ GCD × LCM = 26 × b
⇒ b = (GCD × LCM)/26
⇒ b = (13 × 26)/26
⇒ b = 13
Therefore, the other number is 13.
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