Question

what will be the LCM of 998008 with full explanation.​

Answer 1

Step-by-step explanation:

Prime Factorization of 99 is:

3 x 3 x 11 => 32 x 111

Prime Factorization of 8008 is:

2 x 2 x 2 x 7 x 11 x 13 => 23 x 71 x 111 x 131

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 2, 3, 3, 7, 11, 13

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 = 72072

In exponential form:

LCM = 23 x 32 x 71 x 111 x 131 = 72072

LCM = 72072

Therefore,

LCM(99, 8008) = 72,072