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Q.

The LCM of smallest two-digit composite number and smallest composite number is:


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a

30

b

20

c

40

d

25 

answer is B.

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Detailed Solution

We know the lowest common multiple of two or more numbers is defined as the lowest smallest multiple among all the common multiples.
The LCM is the product of two numbers if 1 is the only common factor of two provided numbers.
If one of the two given numbers is a multiple of the other, their LCM is the largest of the two.
We also know that, numbers that have more than two factors are called composite numbers.
The smallest composite number is 4 and the smallest two-digit composite number is 10.
So, let us find the Lowest common multiple (LCM) of 4 and 10
Question ImageHere, we got the prime factors of 4 and 10.
Multiply the prime factors to get their LCM.
LCM (4, 10) = 2×2×5
LCM (4, 10) = 20
Hence, the LCM of the smallest two-digit composite number and the smallest composite number is 20.
The correct option is (2).
 
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