LCM of 13 and 52 is 52.The Least Common Multiple or Lowest Common Multiple simply known as LCM is the smallest common multiple for the given group of numbers. In the given set of numbers 13 and 52, 52 is the first(least or smallest) number that is common in the set of multiples of 13 and 52. The LCM is also known as LCD, Least Common Divisor. You can use the LCM to find more about lcm.
What is LCM of 13 and 52
The Least Common Multiple or Lowest Common Multiple of 13 and 52 is 52.
How to Find LCM of 13 and 52?
LCM of 13 and 52 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 13 and 52 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 13 and 52 can be expressed as;
13 = 1 × 13
52 = 2 × 2 × 13
13 is the common prime factor of 13 and 52. 13 is multiplied with the other prime factors of 52, which is 2 and 2 to get the LCM
LCM (13, 52) = 2 × 2 × 13 = 52
LCM of 13 and 52 Using Division Method
In the Division Method, the numbers 13 and 52 are divided by smallest prime numbers till the reminders are 1. The product of prime divisors of 13 and 52 are the LCM.
|
2 |
13 |
52 |
|
2 |
13 |
26 |
|
13 |
13 |
13 |
|
× |
1 |
1 |
LCM (13, 52) = 2 × 2 × 13 = 52
LCM of 13 and 52 Using Listing the Multiples
By listing all the multiples of 13 and 52 we can identify the LCM. Below is the list of multiples for 13 and 52
Multiples of 13:
13, 26, 39, 52, 65, 78, 91, …
Multiples of 52:
52, 104, 156….
LCM (13, 52) = 52
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 13 and 52?
Answer: 52 is the smallest number that is divisible by both 13 and 52.
What is the LCM for 13, 26 and 52?
Answer: LCM for 13, 26 and 52 is 52, as 26 and 52 are both multiples of 13.
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