LCM of 11 and 55 is 55. The Lowest/Least Common Multiple, always known as LCM, is the smallest positive numeral that is divisible by the given numbers. In the given set of numbers 11 and 55, 55 is the first (least or smallest) number that is common in the set of multiples of 11 and 55. The LCM is also known as LCD, Least Common Divisor for 11 and 55 is 55. You can read more on LCM for further details.
What is LCM of 11 and 55
The Least Common Multiple or Lowest Common Multiple of 11 and 55 is 55.
How to Find LCM of 11 and 55?
LCM of 11 and 55 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 11 and 55 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 11 and 55 can be expressed as;
11 = 1 × 11
55 = 5 × 11
11 is a prime number which is the prime factor of 55 as well. 11 is multiplied with the other prime factor of 55 which is 5 to get the LCM.
LCM (11, 55) = 5 × 11 = 55
LCM of 11 and 55 Using Division Method
In the Division Method, 11 and 55 are divided by same prime divisors until the reminders are one. The product of these prime divisors is the LCM.
|
11 |
11 |
55 |
|
5 |
1 |
5 |
|
× |
1 |
1 |
LCM (11, 55) = 5 × 11 = 55
LCM of 11 and 55 Using Listing the Multiples
By listing all the multiples of 11 and 55, we get the LCM. Below is the list of multiples for 11 and 55.
|
Multiples of 11 |
Multiples of 55 |
|
11 |
55 |
|
22 |
110 |
|
33 |
165 |
|
44 |
220 |
|
55 |
275 |
LCM (11, 55) = 55
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 11 and 55?
Answer: 55 is the smallest number that is divisible by both 11 and 55.
What is the LCM for 1,5, 11 and 55?
Answer: LCM for 1, 5, 11 and 55 is 55 as 5 is the factor of 55 .
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