In Mathematics , we have a variety of numbers varying from smallest numbers as 0 - 9 to largest numbers as 7896543.
These numbers are classified into different types, but first understand Why do we classify numbers? Why do we give them names, like integers, irrational numbers, or negative numbers? For the same reason we classify anything, we want to make sure that everyone has an understanding of what specific numbers are called and what they mean. After all, there’s a difference between 25, and -32, and 4⁶.
The different types of number are:
Whole numbers: Whole numbers are numbers we count with. 1, 2, 3, 4, and 5 are all whole numbers. So are -17 and 0. Whole numbers do not have fractions or decimals.
All whole numbers are called integers. Integers can be positive or negative whole numbers.
Natural numbers: Natural numbers are those numbers that are positive. So what about 0? 0 is considered as positive and negative both so it is not part of Natural numbers.
These Natural numbers are further classified into different types like EVEN numbers, ODD numbers, PRIME numbers and COMPOSITE numbers.
Here we need to discuss what are prime and composite numbers!
Prime numbers: The numbers that cannot be made by multiplying any two natural numbers. In simple words prime numbers are only divisible by themselves not any other number.
Let’s think of number 2! 2 is only divisible 1 and 2 itself. Same for 3 and 5. So the factors (the numbers by which it is divisible) are only two for Prime numbers: 1 and the number itself.
Composite numbers: Composite numbers are the numbers that can be divided exactly by a whole number other than itself.
Now, let's think 6 is a composite number or not?
6 can be exactly divided by 1 , 2 , 3 and 6 itself. So it has more factors which make it a composite number.
Solution:
Smallest Composite Number:
According to the classification of numbers, let’s check the numbers one by one.
- 1 is considered neither Prime nor Composite number
- 2 can be divided by 1 and 2 itself. Not a Composite number but the smallest Prime number.
- 3 can be divided by 1 and 3 itself. Not a Composite number !
- 4 can be divided by 1, 2 and 4 itself. So it’s a Composite number and the smallest Prime number.
So, 4 is the smallest Composite number.
LCM of the smallest Prime number and smallest Composite number:
LCM of two numbers is the least common multiple of the given two numbers.
We just found out that the smallest Prime number is 2 and the smallest Composite number is 4. So, the Least Common Multiple (LCM) for 2 and 4 can be found out by finding the factors of the numbers individually.
Factors of 2: 1, 2
Factors of 4: 1, 2 , 4
1 is not considered as a factor of any number so the least common multiple (LCM) is 2 for 2 and 4.
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)