The LCM (Least Common Multiple) of 26 and 39 is 78. There are different methods to find the LCM of two numbers, including prime factorization, division method, and listing multiples. Here are the steps to find the LCM of 26 and 39 using prime factorization:
-
Write the prime factorization of each number.
- 26 = 2 x 13
- 39 = 3 x 13
-
Identify the common prime factors and their highest power.
- The common prime factor is 13, raised to the highest power of 1.
-
Multiply the common prime factors raised to their highest power.
- LCM(26, 39) = 2 x 13 x 3 = 78
Therefore, the LCM of 26 and 39 is 78.
