Least Common Multiple  of 26 and 32 is 416

How to find the Least Common Multiple of 26 and 32?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 26 and 32.

Follow the steps below, and let's calculate the LCM of 26 and 32.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 26 and 32:

Prime factors of 26

The prime factors of 26 are 2 and 13. Prime factorization of 26 in exponential form is:

26 = 21x131

Prime factors of 32

The prime factors of 32 are 2, 2, 2, 2 and 2. Prime factorization of 32 in exponential form is:

32 = 25


Step 2: Identify the highest power of each prime number from the above boxes:

25, 131


Step 3: Multiply these values together:

25x131=416


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 26 and 32.

The Least Common Multiple of 26 and 32 is 416.


Method 2 - List of Multiples

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.


Multiples of 26:

26, 52, 78, 104, 130, 156, 182, 208, 234, 260, 286, 312, 338, 364, 390, 416, 442, 468, 494

Multiples of 32:

32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512


Therefore,

LCM(26, 32) = 416