LCM of 13 and 39 is 39. 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. LCM of 13 and 39 is the smallest number among all common multiples of 13 and 39. The first few multiples of 13 and 39 are (13, 26, 39, 52, 65, . . . ) and (39, 78, 117, 156, 195, 234, . . . ) respectively.
Also read: Least common multiple
What is LCM of 13 and 39?
The answer to this question is 39. The LCM of 13 and 39 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 13 and 39, is the smallest positive integer 39 which is divisible by both 13 and 39 with no remainder.
How to Find LCM of 13 and 39?
LCM of 13 and 39 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 13 and 39 Using Prime Factorisation Method
The prime factorisation of 13 and 39, respectively, is given by:
13 = 131 and
39 = (3 × 13) = 31 × 131
LCM (13, 39) = 90
LCM of 13 and 39 Using Division Method
We’ll divide the numbers (13, 39) by their prime factors to get the LCM of 13 and 39 using the division method (preferably common). The LCM of 13 and 39 is calculated by multiplying these divisors.
| 3 | 13 | 39 |
| 13 | 13 | 13 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (13, 39) = 39
LCM of 13 and 39 Using Listing the Multiples
To calculate the LCM of 13 and 39 by listing out the common multiples, list the multiples as shown below.
| Multiples of 13 | Multiples of 39 |
| 13 | 39 |
| 26 | 78 |
| 39 | 117 |
| 52 | 156 |
| 65 | 195 |
The smallest common multiple of 13 and 39 is 39.
Therefore LCM (13, 39) = 39
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LCM of 13 and 39 Solved Example
Question: The product of two numbers is 507. If their GCD is 13, what is their LCM?
Solution:
Given: GCD = 13
product of numbers = 507
LCM × GCD = product of numbers
LCM = Product/GCD = 507/13
Therefore, the LCM is 39.
The probable combination for the given case is LCM(13, 39) = 39.
Frequently Asked Questions on LCM of 13 and 39
What is the LCM of 13 and 39?
List the methods used to find the LCM of 13 and 39.
If the LCM of 39 and 13 is 39, Find its GCF.
Since the LCM of 39 and 13 = 39
⇒ 39 × GCF(39, 13) = 507
Therefore, the greatest common factor = 507/39 = 13.
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