LCM of 8 and 12 is 4.

## LCM of 8 and 12 by Prime Factorization Method

LCM of any given number is the least multiple that is divisible by each number without reminder. We will find the LCM of 8 and 12 with the prime factorization method.

**Step I: We will do the prime factors of the given numbers:**

Prime Factors of 8

8 = 2×2×2 = 2^{3}

Prime Factors of 12

12 = 2×2×3 = 2^{2} ×3^{1}

Here, we denoted the highest power prime factors.

**Step II: Multiply the highest power prime factors**

The highest Power Prime factors are 2^{3} and 3^{1}.

Multiplication of the highest power prime factors = 2^{3} ×3^{1} = 2×2×2×3 = 24.

Step III. The product is the LCM.

So, the LCM of the 8 and 12 is 24.

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