Question

5. In expressing 18 and 24 in prime factorization, a pupil started as follows:

PM (18) = 2 X3 X3
2x3
PM (24) = 2 x 2 x 2 x3
To find the least common multiple (LCM) of 18 and 24 the pupil would next take the product of
the
☺
23
A. Least powers of 2 and 3 as the LCM
B.) Highest powers of 2 and 3 as the LCM
C. Highest power of 2 and least power of 3
D. Least power of 2 and the highest power of 3
The following names were used by some JHS students for (-7) in the mathematical se​

Answer 1

The highest powers of 2 and 3

Explanation:

Given

`18 = 2 * 3 * 3`

`24 = 2 * 2 * 2 * 3`

Required

Determine the LCM

The given parameters can be written as:

`18 = 2 * 3^2`

`24 = 2^3 * 3`

So, the LCM is:

`LCM = 2^3 * 3^2`

Hence, the LCM is the highest powers of 2 and 3