Find LCM: 13, 26 and 29.

To find the Least Common Multiple (LCM) of the numbers 13, 26, and 29, we follow these steps:

Prime Factorization:

13 is a prime number, so its prime factorization is just 13.
26 can be factored as 26 = 2 × 13.
29 is a prime number, so its prime factorization is just 29.
Identify the highest powers of all prime factors:

The prime factors involved are 2, 13, and 29.
The highest power of 2 is 2^1 (from 26).
The highest power of 13 is 13^1 (from 13 and 26).
The highest power of 29 is 29^1 (from 29).
LCM Calculation: The LCM is obtained by multiplying the highest powers of all the prime factors. So, LCM = 2^1 × 13^1 × 29^1 = 2 × 13 × 29.

Multiplying the numbers:

2 × 13 = 26
26 × 29 = 754
Thus, the LCM of 13, 26, and 29 is 754.