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To find the least common multiple (LCM) of two numbers, you need to determine the smallest number that both numbers can divide into evenly. To do this, you first find the prime factors of each number: 270 = 2 x 3^3 x 5 and 300 = 2^2 x 3 x 5^2. To calculate the LCM, you take the highest power of each prime factor that appears in either number: LCM = 2^2 x 3^3 x 5^2 = 9000. Therefore, the least common multiple of 270 and 300 is 9000.
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