LCM of 4 and 14

LCM of 4 and 14 is 28. 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 4 and 14, 28 is the first(least or smallest) number that is common in the set of multiples of 4 and 14. You can find the set of multiples of 4 and 14 in the sections below to understand the LCM better. The LCM is also known as LCD, Least Common Divisor for 4 and 14 is 28. You can use the Prime Factorization and Division method to find the LCM of the given set of numbers. 

What is LCM of 4 and 14

The Least Common Multiple or Lowest Common Multiple of 4 and 14 is 28.

How to Find LCM of 4 and 14?

LCM of 4 and 14 can be determined using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 4 and 14 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 4 and 14 can be expressed as;

4 = 2 x 2

14 = 2 x 7

LCM (4, 14) = 2 x 2 x 7 = 28

LCM of 4 and 14 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. 

LCM (4, 14) = 2 x 2 x 7 = 28

LCM of 4 and 14 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 14

LCM (4, 14) = 28

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Video Lesson on Applications of LCM

Solved Examples 

What is the smallest number that is divisible by both 4 and 14?

Answer: 28 is the smallest number that is divisible by both 4 and 14. 

What is the LCM for 1, 2, 4 and 14? 

Answer: LCM for 1, 2, 4 and 14 is 28.