LCM of 4 and 15 is 60. The Least Common multiple or Lowest common multiple or LCD – Least Common Divisor mostly known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 4 and 15, 60 is the first(least or smallest) number that is common in the set of multiples of 4 and 15. You can find the LCM using the methods mentioned at Prime Factorization and Division method.
What is LCM of 4 and 15
The Least Common Multiple or Lowest Common Multiple of 4 and 15 is 60.
How to Find LCM of 4 and 15?
LCM of 4 and 15 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4 and 15 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 4 and 15 can be expressed as;
4 = 2 x 2
15 = 3 x 5
LCM (4, 15) = 2 x 2 x 3 x 5 = 60
LCM of 4 and 15 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 |
4 |
15 |
|
2 |
2 |
15 |
|
3 |
1 |
15 |
|
5 |
1 |
5 |
|
x |
1 |
1 |
No further division can be done as only prime numbers are left.
Hence, LCM (4, 15) = 2 x 2 x 3 x 5 = 60
LCM of 4 and 15 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 4 and 15
|
Multiples of 4 |
Multiples of 15 |
|
4 |
15 |
|
8 |
30 |
|
12 |
45 |
|
16 |
60 |
|
20 |
75 |
|
24 |
90 |
|
28 |
105 |
|
32 |
120 |
|
36 |
135 |
|
40 |
150 |
|
44 |
165 |
|
48 |
180 |
|
52 |
195 |
|
56 |
210 |
|
60 |
225 |
LCM (4, 15) = 60
Related Articles
Video Lesson on Applications of LCM
Solved Examples
- What is the smallest number that is divisible by both 4 and 15?
Answer: 60 is the smallest number that is divisible by both 4 and 15.
2. What is the LCM for 1, 4 and 15?
Answer: LCM for 1, 4 and 15 is 60.
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