what is the LCM of 14 and 21?
First, let's get the multiples.
14, 28, 42, 56, 70
21, 42, 63, 84
What is the smallest common multiple?
http://www.aaamath.com/fra66i-lcm.html
The LCM (Least Common Multiple) of two or more numbers is the smallest positive integer that is divisible by all the given numbers. To find the LCM of 14 and 21, we can follow these steps:
Step 1: List the multiples of each number:
Multiples of 14: 14, 28, 42, 56, 70, ...
Multiples of 21: 21, 42, 63, 84, 105, ...
Step 2: Identify the common multiples shared by both numbers:
From the list above, we can see that 42 is the smallest common multiple.
Therefore, the LCM of 14 and 21 is 42.
Explanation: In step 1, we find the multiples of each number by multiplying the number by integers. In step 2, we compare the multiples to find the smallest number that appears in both lists. This number is the LCM of the given numbers.