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What is the least common multiple of four and nine?
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The least common multiple or LCM is the smallest positive integer that is a multiple of two or more numbers.
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In this question, we need to find the LCM of four and nine.
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One way of doing this is to write a list of the multiples of each of the numbers.
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The multiples of four are four, eight, 12, 16, and so on.
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The multiples of nine are nine, 18, 27, 36, and so on.
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The smallest number that is in the four and nine times table is 36.
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We can therefore conclude that the least common multiple of four and nine is 36.
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We might notice here that four multiplied by nine is 36.
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Multiplying our two numbers will always give a common multiple, although it wonâ€™t always be the least common multiple.