Subjects algebra

Lcm 8 4 890E2E

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1. **State the problem:** Find the least common multiple (LCM) of 8 and 4. 2. **Formula and rules:** The LCM of two numbers is the smallest positive integer that is divisible by both numbers. 3. **Find prime factorizations:** - 8 = $2^3$ - 4 = $2^2$ 4. **Determine LCM:** Take the highest powers of all prime factors present. - Highest power of 2 is $2^3$ 5. **Calculate LCM:** $$\text{LCM}(8,4) = 2^3 = 8$$ 6. **Answer:** The least common multiple of 8 and 4 is 8.