# Question #87585

Apr 12, 2017

8

#### Explanation:

The lowest common multiple is the lowest number which is a multiple of both numbers.

Since 8 * 1 = 8 and 2 * 4 = 8, 8 is the lowest common multiple.

An easy way to find the LCM is to list all multiples of each number, up to the product of both numbers (in this case, 16).

For 2:
- 2, 4, 6, 8, 10, 12, 14, 16

For 8:
- 8, 16,

8 is the lowest number they both have in common.

The highest possible value of an LCM is both numbers multiplied by each other. This is why for both lists i stopped at 16, because
2*8 = 16

Apr 12, 2017

The lowest common multiple of $2 \mathmr{and} 8$ is $8$.

#### Explanation:

$8$ is divisible by $2$, which will divide into $8$ four times.
$8$ will not divide into $2$.

Since there are only two values, the lowest common multiple is the larger number as long as the smaller number will divide into it exactly (no remainder).