Last updated on May 26th, 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.
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.
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
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
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!
Two numbers have an LCM of 154. One of the numbers is 14. Find the missing number.
Let the missing number be x
We know:
LCM(14,x)=154
Since the LCM of 14 and 22 is 154, x=22
The LCM remains the same when the two numbers involved are 14 and 22, which confirms that the missing number is 22.
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.
The least positive integer in A∩B is the LCM of 14 and 22, which is 154.
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.
Find the LCM of the fractions 14/22​ and 22/14​.
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
The LCM of fractions uses both the LCM of the numerators and the GCD of the denominators to compute the result.
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.
: She loves to read number jokes and games.