Least Common Multiple  of 48 and 57 is 912

How to find the Least Common Multiple of 48 and 57?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 48 and 57.

Follow the steps below, and let's calculate the LCM of 48 and 57.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 48 and 57:

Prime factors of 48

The prime factors of 48 are 2, 2, 2, 2 and 3. Prime factorization of 48 in exponential form is:

48 = 24x31

Prime factors of 57

The prime factors of 57 are 3 and 19. Prime factorization of 57 in exponential form is:

57 = 31x191


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

24, 31, 191


Step 3: Multiply these values together:

24x31x191=912


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 48 and 57.

The Least Common Multiple of 48 and 57 is 912.


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 48:

48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056

Multiples of 57:

57, 114, 171, 228, 285, 342, 399, 456, 513, 570, 627, 684, 741, 798, 855, 912, 969, 1026, 1083


Therefore,

LCM(48, 57) = 912