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