Least Common Multiple  of 23 and 36 is 828

How to find the Least Common Multiple of 23 and 36?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 23 and 36.

Follow the steps below, and let's calculate the LCM of 23 and 36.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 23 and 36:

Prime factors of 23

The prime factors of 23 are 23. Prime factorization of 23 in exponential form is:

23 = 231

Prime factors of 36

The prime factors of 36 are 2, 2, 3 and 3. Prime factorization of 36 in exponential form is:

36 = 22x32


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

231, 22, 32


Step 3: Multiply these values together:

231x22x32=828


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 23 and 36.

The Least Common Multiple of 23 and 36 is 828.


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 23:

23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391, 414, 437, 460, 483, 506, 529, 552, 575, 598, 621, 644, 667, 690, 713, 736, 759, 782, 805, 828, 851, 874, 897

Multiples of 36:

36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936


Therefore,

LCM(23, 36) = 828