LCM of 14 and 56 is 56. The Least Common Multiple or Lowest Common Multiple simply known as LCM is the first positive integer that is divisible by the given numbers. In the given set of numbers 14 and 56, 56 is the first(least or smallest) number that is common in the set of multiples of 14 and 56. The LCM is also known as LCD, Least Common Divisor. You can use the HCF and LCM to find more on lcm.
What is LCM of 14 and 56
The Least Common Multiple or Lowest Common Multiple of 14 and 56 is 56.
How to Find LCM of 14 and 56?
LCM of 14 and 56 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 14 and 56 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 14 and 56 can be expressed as;
14 = 2 × 7
56 = 2 × 2 × 2 × 7
2 × 7 are the common factors and he rest factors are multiplied to get the LCM.
LCM (14, 56) = 2 × 2 × 2 × 7 = 56
LCM of 14 and 56 Using Division Method
In the Division Method,
- Dividing 15 and 56 by prime factors starting with the smallest and increasing by the divisibility.
- When division is complete with remainders as 1, the product of prime divisors will be the LCM.
|
2 |
14 |
56 |
|
2 |
7 |
28 |
|
2 |
7 |
14 |
|
7 |
7 |
7 |
|
× |
1 |
1 |
Hence, LCM (14, 56) = 2 × 2 × 2 × 7 = 56
LCM of 14 and 56 Using Listing the Multiples
By listing all the multiples of given numbers 14 and 56, we can identify the LCM. Below is the list of multiples for 14 and 56
Multiples of 14:
14, 28, 42, 56, 70, 84,….
Multiples of 56:
56, 112, 168,….
LCM (14, 56) = 56
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 14 and 56?
Answer: 56 is the smallest number that is divisible by both 14 and 56.
What is the LCM for 7, 14, 28 and 56?
Answer: LCM for 7, 14, 28 and 56 is 56 as 7 is a factor of 14 and 28 is the multiple of 14.
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