What is lcm of 8 and 12?

The LCM (Least Common Multiple) of 8 and 12 is the smallest positive integer that is divisible by both 8 and 12 without leaving any remainder.

To find the LCM of 8 and 12, we can list the multiples of both numbers and find the smallest common multiple:

Multiples of 8: 8, 16, 24, 32, ...

Multiples of 12: 12, 24, 36, ...

From the lists above, we can see that 24 is the smallest number that appears in both lists. Therefore, the LCM of 8 and 12 is 24.

In mathematical notation, we can also find the LCM by using the formula:

LCM(a, b) = (a * b) / GCD(a, b)

where GCD(a, b) represents the Greatest Common Divisor of numbers a and b. In this case, the GCD of 8 and 12 is 4. Therefore, the LCM is calculated as:

LCM(8, 12) = (8 * 12) / 4 = 24

So, the LCM of 8 and 12 is 24.