Find Least Common Multiple of 84 and 318 by listing out the factors.

LCM( 84, 318 ) = 4452

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

The multipliers of 84 are: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1008, 1092, 1176, 1260, 1344, 1428, 1512, 1596, 1680, 1764, 1848, 1932, 2016, 2100, 2184, 2268, 2352, 2436, 2520, 2604, 2688, 2772, 2856, 2940, 3024, 3108, 3192, 3276, 3360, 3444, 3528, 3612, 3696, 3780, 3864, 3948, 4032, 4116, 4200, 4284, 4368, 4452, 4536, . . .

The multipliers of 318 are: 318, 636, 954, 1272, 1590, 1908, 2226, 2544, 2862, 3180, 3498, 3816, 4134, 4452, 4770, . . .

We can see that:

LCM( 84, 318 ) = 4452

This solution can be visualized using a Venn diagram.

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