Least Common Multiple  of 17 and 24 is 408

How to find the Least Common Multiple of 17 and 24?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 17 and 24.

Follow the steps below, and let's calculate the LCM of 17 and 24.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 17 and 24:

Prime factors of 17

The prime factors of 17 are 17. Prime factorization of 17 in exponential form is:

17 = 171

Prime factors of 24

The prime factors of 24 are 2, 2, 2 and 3. Prime factorization of 24 in exponential form is:

24 = 23x31


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

171, 23, 31


Step 3: Multiply these values together:

171x23x31=408


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 17 and 24.

The Least Common Multiple of 17 and 24 is 408.


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 17:

17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459

Multiples of 24:

24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480


Therefore,

LCM(17, 24) = 408