What is the Least Common Multiple of 306 and 657?

Understanding the Least Common Multiple (LCM)

The least common multiple, or LCM, of two numbers is the smallest number that is a multiple of both of the numbers. In other words, the LCM is the lowest number that can be divided evenly by both numbers. For example, the LCM of 2 and 4 is 4 because it is the smallest number that is a multiple of both numbers.

Finding the LCM of 306 and 657

To find the LCM of 306 and 657, we must first list out the multiples of each number. The multiples of 306 are 306, 612, 918, 1224, 1530, 1836, and so on. The multiples of 657 are 657, 1314, 1971, 2628, 3285, and so on.

Now, we must look for the smallest number that is a multiple of both 306 and 657. In this case, the smallest number is 1836, which is a multiple of both 306 and 657. Therefore, the LCM of 306 and 657 is 1836.

Conclusion

The least common multiple, or LCM, of 306 and 657 is 1836. To find the LCM of two numbers, one can first list out the multiples of each number and then look for the smallest number that is a multiple of both numbers.