LCM of 28 and 32 is 140. LCM stands for the Least Common multiple or Lowest common multiple. LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 28 and 32, 140 is the first(least or smallest) number that is common in the set of common multiples of 28 and 35. The LCM which is also known as LCD, Least Common Divisor for 28 and 35 is 140. You can read more on LCM for further details.
What is LCM of 28 and 35
The Least Common Multiple or Lowest Common Multiple of 28 and 35 is 140.
How to Find LCM of 28 and 35?
LCM of 28 and 35 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 28 and 35 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 28 and 35 can be expressed as;
28 = 2 × 2 × 7
35 = 5 × 7
LCM (28, 35) = 2 × 2 × 5 × 7 = 140
LCM of 28 and 35 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 |
28 |
35 |
|
2 |
14 |
35 |
|
5 |
7 |
35 |
|
7 |
7 |
7 |
|
x |
1 |
1 |
LCM (28, 35) = 2 × 2 × 5 × 7 = 140
LCM of 28 and 35 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 28 and 35.
|
Multiples of 28 |
Multiples of 35 |
|
28 |
35 |
|
56 |
70 |
|
84 |
105 |
|
112 |
140 |
|
140 |
175 |
|
168 |
210 |
LCM (28, 35) = 140
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 28 and 32?
Answer: 140 is the smallest number that is divisible by both 28 and 32.
What is the LCM for 7, 28 and 35?
Answer: LCM for 7, 28 and 35 is 140.
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