The LCM (Least Common Multiple) of two numbers is the smallest multiple of both numbers.
To find the LCM of two numbers, you can list the multiples of each number and stop as soon as you find a common multiple.
To find the multiples of a number, simply multiply that number by another number (the multiples of 16 are 16×1=16, 16×2=32, 16×3=48, etc.).
For example, the LCM of 16 and 24 is 48, because it is the least common multiple of 16 and 24. These numbers also have other common multiples, such as 144 and 288, but these are not their least common multiples.
The GCD (Greatest Common Divisor) of two numbers is the largest divisor of both numbers.
To find the GCD of two numbers, you must list all the divisors of each number, then identify the greatest common divisor.
For example, the GCD of 16 and 24 is 8, because it is the greatest common divisor of 16 and 24. These numbers also have other common divisors, namely 2 and 4, but these are not their greatest common divisor.
Explanation from Alloprof
This Explanation was submitted by a member of the Alloprof team.
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The LCM (Least Common Multiple) of two numbers is the smallest multiple of both numbers.
To find the LCM of two numbers, you can list the multiples of each number and stop as soon as you find a common multiple.
To find the multiples of a number, simply multiply that number by another number (the multiples of 16 are 16×1=16, 16×2=32, 16×3=48, etc.).
For example, the LCM of 16 and 24 is 48, because it is the least common multiple of 16 and 24. These numbers also have other common multiples, such as 144 and 288, but these are not their least common multiples.
The GCD (Greatest Common Divisor) of two numbers is the largest divisor of both numbers.
To find the GCD of two numbers, you must list all the divisors of each number, then identify the greatest common divisor.
For example, the GCD of 16 and 24 is 8, because it is the greatest common divisor of 16 and 24. These numbers also have other common divisors, namely 2 and 4, but these are not their greatest common divisor.
Here's a worksheet on the concept of the LCM:
And here's one for the GCD:
I hope I was able to help you! Feel free to ask us more questions if you have any! :)