LCM of 14 and 42

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.

lcm of 14 and 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.

Frequently Asked Questions on LCM of 14 and 42

Q1

What is the LCM of 14 and 42?

The LCM of 14 and 42 is 42.
Q2

Is the LCM of 14 and 42 the same as the Highest Common Factor of 14 and 42?

No. LCM of 14 and 42 is 42 and the Highest Common Factor of 14 and 42 is 14.
Q3

What is common in 14 and 42?

1, 2, 7 and 14 are common in the numbers 14 and 42.

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