# The LCM of smallest two digits composite number and the smallest composite number is​

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The LCM of smallest two digits composite number and the smallest composite number is 20. A composite number is a positive whole number that has more than two divisors, excluding 1 and itself. Therefore, the smallest composite number with two digits is 10, while the smallest composite number overall is 4. To find the least common multiple (LCM) of these two numbers, we need to determine the smallest multiple that is divisible by both 10 and 4.

## LCM of smallest two digits composite number and the smallest composite number

Solution

To find the least common multiple (LCM) of 10 and 4, we need to determine the smallest multiple that is divisible by both numbers.

The prime factorization of 10 = 2 x 5.

The prime factorization of 4 = 2 x 2.

To find the LCM, we take the highest power of each prime factor that appears in either number:

2 x 2 x 5 = 20

Therefore, the LCM of the smallest two-digit composite number (10) and the smallest composite number (4) is 20.

Summary:

## The LCM of smallest two digits composite number and the smallest composite number is 20.

Composite numbers are non-prime numbers, meaning they have divisors other than 1 and the number itself. Prime numbers, on the other hand, are positive integers that have only two divisors: 1 and the number itself. It’s important to know that the number 1 is neither a prime number nor a composite number.

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