LCM of 14 and 22
2026-02-28 01:42 Diff
https://brightchamps.com/en-us/math/numbers/lcm-of-14-and-22

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Last updated on August 5, 2025

The smallest positive integer that divides the numbers with no numbers left behind is the LCM of 14 and 22. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music. In this article, let’s now learn to find LCMs of 14 and 22.

What is LCM of 14 and 22

We can find the LCM using listing multiples method, prime factorization method and the long division method. These methods are explained here, apply a method that fits your understanding well. 
 

LCM of 14 and 22 using listing multiples method

Step 1: List the multiples of each of the numbers;

 
14 = 14,28,42,56,70,84,98,112,126,140,154…


22 = 22,44,66,88,110,132,154,…


Step 2: Find the smallest number in both the lists 


LCM (14,22) = 154 
 

LCM of 14 and 22 using prime factorization method

Step 1: Prime factorize the numbers 


14 = 2×7


22= 11×2 


Step 2:find highest powers


Step 3:Multiply the highest powers of the numbers


LCM(14,22) = 154  

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LCM of 14 and 22 using division method

  • Write the numbers in a row 
  • Divide them with a common prime factor
  • Carry forward numbers that are left undivided 
  • Continue dividing until the remainder is ‘1’ 
  • Multiply the divisors to find the LCM
  • LCM (14,22) = 154 
     

Common mistakes and how to avoid them in LCM of 14 and 22

Listed here are a few mistakes children may make when trying to find the LCM due to confusion or due to unclear understanding. Be mindful, understand, learn and avoid!
 

Problem 1

Two numbers have an LCM of 154. One of the numbers is 14. Find the missing number.

Okay, lets begin

Let the missing number be x


We know:


LCM(14,x)=154


Since the LCM of 14 and 22 is 154, x=22

Explanation

The LCM remains the same when the two numbers involved are 14 and 22, which confirms that the missing number is 22.
 

Well explained 👍

Problem 2

Let A={x∈Z:x is a multiple of 14} and B={x∈Z:x is a multiple of 22}B. Find the least positive integer in A∩B.

Okay, lets begin

The least positive integer in A∩B is the LCM of 14 and 22, which is 154.
 

Explanation

The intersection of sets A and B contains all numbers that are multiples of both 14 and 22. The smallest such number is their LCM.
 

Well explained 👍

Problem 3

Find the LCM of the fractions 14/22​ and 22/14​.

Okay, lets begin

The LCM of two fractions is given by the formula:


LCM(a/b, c/d)=LCM(a, c)/GCD(b, d)


Here:


a=14, b=22, c=22, d=14


LCM(14,22)=154,GCD(22,14)=2


Therefore:


LCM(14/22,22/14)=154/2=77
 

Explanation

The LCM of fractions uses both the LCM of the numerators and the GCD of the denominators to compute the result.
 

Well explained 👍

FAQs on the LCM of 14 and 22

1.What is the GCF of 14 and 22?

2.Find the LCM of 14 and 122.

3.What is the LCM of 14 and 21?

The LCM of 14 and 21 is 42.
 

4.What is the LCM of 14 and 24?

The LCM of 14 and 24 is 168. We can apply any of the above discussed methods to find the same. 

5. What is the LCM of 13 and 22?

The LCM of 13 and 22 is 286. 
 

Important glossaries for LCM of 14 and 22

  • Multiple: the result after multiplication of a number and an integer. To explain, 75×5 =375; 375 is a multiple of 75. 
  • Prime Factor: A number with only two factors, 1 and the number. For example,7, its factors are only 1 and 7 and the number when divided by any other integer will leave a remainder behind. 
  • Prime Factorization: breaking a number down into its prime factors. For example, 60 is written as the product of 2×2×3×5. 
     

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.