The Least Common Multiple (LCM) of 150 and 300 is the smallest number that is a multiple of both 150 and 300. To find the LCM, we first need to find the prime factorization of each number. 150 = 2 * 3 * 5^2 and 300 = 2^2 * 3 * 5^2. Then, we take the highest power of each prime factor that appears in either factorization: 2^2 * 3 * 5^2 = 300. Therefore, the LCM of 150 and 300 is 300.
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Well, let's take a moment to appreciate the beauty of finding the Least Common Multiple, or LCM, of two numbers. In this case, the LCM of 150 and 300 is 300, as it is the smallest multiple that both numbers share. Remember, math is like painting a happy little picture - just take it one step at a time and enjoy the process!