Least Common Multiple  of 24 and 29 is 696

How to find the Least Common Multiple of 24 and 29?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 24 and 29.

Follow the steps below, and let's calculate the LCM of 24 and 29.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 24 and 29:

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

Prime factors of 29

The prime factors of 29 are 29. Prime factorization of 29 in exponential form is:

29 = 291


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

23, 31, 291


Step 3: Multiply these values together:

23x31x291=696


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 24 and 29.

The Least Common Multiple of 24 and 29 is 696.


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 24:

24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768

Multiples of 29:

29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 435, 464, 493, 522, 551, 580, 609, 638, 667, 696, 725, 754, 783


Therefore,

LCM(24, 29) = 696