Find Least Common Multiple of 32 and 27 by listing out the factors.

LCM( 32, 27 ) = 864

Write down multiples of each number until you find the first common multiple:

The multipliers of 32 are: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768, 800, 832, 864, 896, . . .

The multipliers of 27 are: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, 540, 567, 594, 621, 648, 675, 702, 729, 756, 783, 810, 837, 864, 891, . . .

We can see that:

LCM( 32, 27 ) = 864

This solution can be visualized using a Venn diagram.

The LCM is equal to the product of all the numbers on the diagram.