What is the least common multiple of four and nine?
The least common multiple or LCM is the smallest positive integer that is a multiple of two or more numbers. In this question, we need to find the LCM of four and nine. One way of doing this is to write a list of the multiples of each of the numbers. The multiples of four are four, eight, 12, 16, and so on. The multiples of nine are nine, 18, 27, 36, and so on. The smallest number that is in the four and nine times table is 36.
We can therefore conclude that the least common multiple of four and nine is 36. We might notice here that four multiplied by nine is 36. Multiplying our two numbers will always give a common multiple, although it won’t always be the least common multiple.