Question

lcm of 8 and 12. with steps for brainiest

Answer 1

Answer:

The first multiple that 8 and 12 have in common is 24. Notice that 48 is also a common multiple; however, 24 is the smallest number that they have in common. This makes it the least common multiple.

Answer 2

Answer:

hope it helps

Step-by-step explanation:

The first multiple that 8 and 12 have in common is 24. Notice that 48 is also a common multiple however, 24 is the smallest number that they have in common.

at last 24 is the LCM of 8and 1

Least common multiple can be found by multiplying the highest exponent prime factors of 8 and 12. First we will calculate the prime factors of 8 and 12.

Prime Factorization of 8

2_ |8

2_ |4

2_ |2

1

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 23

Prime Factorization of 12

2_ |12

2_ |6

3_ |3

1

Prime factors of 12 are 2,3. Prime factorization of 12 in exponential form is:

12 = 22×31

Now multiplying the highest exponent prime factors to calculate the LCM of 8 and 12.

LCM(8,12) = 23×31

LCM(8,12) = 24

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12