LCM of 16 and 64 is 64. If we make a list of the common factors of 16 and 64, the first common factor which will be the least or smallest number, is called the Least common factor. Also known as Lowest common multiple. In the numbers 16 and 64, 64 is the first(least or smallest) number that is common in the set of common multiples of 16 and 64. The LCM which is also known as LCD, Least Common Divisor for 16 and 64 is 64. You can read more on LCM for further details.
What is LCM of 16 and 64
The Least Common Multiple or Lowest Common Multiple of 16 and 64 is 64.
How to Find LCM of 16 and 64?
LCM of 16 and 64 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 16 and 64 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 16 and 64 can be expressed as;
16 = 2 × 2 × 2 × 2
64 = 2 × 2 × 2 × 2 × 2 × 2
LCM (16, 64) = 2 × 2 × 2 × 2 × 2 × 2 = 64
LCM of 16 and 64 Using Division Method
In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left.
|
2 |
16 |
64 |
|
2 |
8 |
32 |
|
2 |
4 |
16 |
|
2 |
2 |
8 |
|
2 |
1 |
4 |
|
2 |
1 |
2 |
|
× |
1 |
1 |
Therefore LCM (16, 64) = 2 × 2 × 2 × 2 × 2 × 2 = 64
LCM of 16 and 64 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 16 and 64
|
Multiples of 16 |
Multiples of 64 |
|
16 |
64 |
|
32 |
128 |
|
48 |
192 |
|
64 |
256 |
|
80 |
320 |
LCM (16, 64) = 64
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 16 and 64?
Answer: 64 is the smallest number that is divisible by both 16 and 64.
What is the LCM for 2, 4, 8, 16 and 64?
Answer: LCM for 2, 4, 8, 16 and 64 is 64, as 2, 4, 8 are all factors of 16 and 64.
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