LCM of 14 and 42 is 42. The Least Common multiple or Lowest common multiple simply 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 14 and 42, 42 is the first(least or smallest) number that is common in the set of multiples of 14 and 42. The LCM is also known as LCD, Least Common Divisor. You can use the HCF and LCM to find more on the lcm.
What is LCM of 14 and 42
The Least Common Multiple or Lowest Common Multiple of 14 and 42 is 42.
How to Find LCM of 14 and 42?
LCM of 14 and 42 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 14 and 42 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 14 and 42 can be expressed as;
14 = 2 × 7
42 = 2 × 3 × 7
LCM (14, 42) = 2 × 3 × 7 = 42
LCM of 14 and 42 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 |
14 |
42 |
|
3 |
7 |
21 |
|
7 |
7 |
7 |
|
× |
1 |
1 |
Hence, LCM (14, 42) = 2 × 3 × 7 = 42
LCM of 14 and 42 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 14 and 42
Multiples of 14:
14, 28, 42, 56, 70, 84,….
Multiples of 42:
42, 84, 126…..
LCM (14, 42) = 42
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 14 and 42?
Answer: 42 is the smallest number that is divisible by both 14 and 42.
What is the LCM for 7, 14 and 42?
Answer: LCM for 7, 14 and 42 is 42.
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