Question

the lcm of 1313 and 9797 is_.​

Answer 1

Answer:

LCM = 127,361

Solution by Prime Factorization

List all prime factors for each number.

Prime Factorization of 1313 is:

13 x 101 => 131 x 1011

Prime Factorization of 9797 is:

97 x 101 => 971 x 1011

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

13, 97, 101

Multiply these factors together to find the LCM.

LCM = 13 x 97 x 101 = 127361

In exponential form:

LCM = 131 x 971 x 1011 = 127361

LCM = 127361

Therefore,

LCM(1313, 9797) = 127,361