Determine the LCM of 4 and 12 using the prime factorisation method.
Question
Determine the LCM of 4 and 12 using the prime factorisation method.
Solution
Sure, here are the steps to find the LCM of 4 and 12 using the prime factorisation method:
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First, we need to find the prime factors of each number.
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The prime factorisation of 4 is 2*2 or 2^2.
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The prime factorisation of 12 is 223 or 2^2*3.
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Now, to find the LCM (Least Common Multiple), we take the highest power of all the factors that appear in either number.
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In this case, the highest power of 2 that appears is 2^2 and the highest power of 3 that appears is 3^1.
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So, the LCM is 2^23 = 43 = 12.
Therefore, the LCM of 4 and 12 is 12.
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