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

• A. 12
• B. 4
• C. 20
• D. 44

The smallest two-digit composite number is 10, and the smallest composite number is 4. To find the least common multiple (LCM) of these two numbers, we can list their multiples or use the prime factorization method.

Prime Factorization

First, let's break down the numbers:

• 10 = 2 × 5
• 4 = 2²

Finding the LCM

The LCM is found by taking the highest power of each prime factor:

• From 10: 2¹ and 5¹
• From 4: 2²

So, the LCM will be:

• 2² (from 4) and 5¹ (from 10)

This gives us:

LCM = 2² × 5¹ = 4 × 5 = 20

Final Answer

The least common multiple of the smallest two-digit composite number and the smallest composite number is 20. Therefore, the correct option is C. 20.