4. What is the least common multiple of 6 and 8?
A. 12
B. 24
D. 48
C. 16

To find the LCM(least common multiple) of the given numbers you have 2 method which is multiplying method and factors method which enquires the common factors of each numbers(simply using prime factorizations

Using the multiplying method,just keep on multiplying to get the common multiple of the given numbers which is

6-6,12,18,24

8-8,16,24

This is easier if the numbers are small

Using prime factorization,all you got to do is simplify them to its prime factors which is

6 prime factors-2 x 3

8 prime factors-2 x 2 x 2

Then you will simplify again to powers of its number

6 = 2 x 3 8 = 2³

Next you will find the greatest value of these number which is

2 < 2³ (2 < 8) and since 3 has no comparisons to another 3 (it will simply stay as its own

Lastly you will multiply the equation which is

LCM = 2³ x 3

LCM = 8 x 3

LCM = 24

This method is easier if the numbers are big like a 3 digit number

Therefore, 24 is the least common multiple of 6 and 8 thx

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