LCM of 27 and 81 is 81. The Least Common Multiple or Lowest Common Multiple always known as LCM is the smallest number that is divisible by the given numbers. In the given set of numbers 27 and 81, 81 is the first (least or smallest) number that is common in the set of multiples of 27 and 81. The LCM is also known as LCD, Least Common Divisor. You can use the HCF and LCM to understand the lcm.
What is LCM of 27 and 81
The Least Common Multiple or Lowest Common Multiple of 27 and 81 is 81.
How to Find LCM of 27 and 81?
LCM of 27 and 81 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 27 and 81 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 27 and 81 can be expressed as;
27 = 3 × 3 × 3
81 = 3 × 3 × 3 × 3
3 × 3 × 3 are the common factors of 27 and 81. This is multiplied by the other factors of 81 to get the LCM.
LCM (27, 81) = 3 × 3 × 3 × 3 = 81
LCM of 27 and 81 Using Division Method
In the Division Method, the numbers 27 and 81 are divided together by common prime divisors. The division is continued with uncommon prime divisors, if required. The product of common and uncommon prime divisors forms the LCM.
|
3 |
27 |
81 |
|
3 |
9 |
27 |
|
3 |
3 |
9 |
|
3 |
1 |
3 |
|
× |
1 |
1 |
LCM (27, 81) = 3 × 3 × 3 × 3 = 81
LCM of 27 and 81 Using Listing the Multiples
By listing all the multiples of 27 and 81 we can identify the LCM. Below is the list of multiples for 27 and 81
|
Multiples of 27 |
Multiples of 81 |
|
27 |
81 |
|
54 |
162 |
|
81 |
243 |
LCM (27, 81) = 81
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 27 and 81?
Answer: 81 is the smallest number that is divisible by both 27 and 81.
What is the LCM for 3, 9, 27 and 81?
Answer: LCM for 3, 9, 27 and 81 is 81 as 3 and 9 are the factors of both 27 and 81.
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