Least Common Multiple  of 42 and 54 is 378

How to find the Least Common Multiple of 42 and 54?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 42 and 54.

Follow the steps below, and let's calculate the LCM of 42 and 54.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 42 and 54:

Prime factors of 42

The prime factors of 42 are 2, 3 and 7. Prime factorization of 42 in exponential form is:

42 = 21x31x71

Prime factors of 54

The prime factors of 54 are 2, 3, 3 and 3. Prime factorization of 54 in exponential form is:

54 = 21x33


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

21, 33, 71


Step 3: Multiply these values together:

21x33x71=378


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 42 and 54.

The Least Common Multiple of 42 and 54 is 378.


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 42:

42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504

Multiples of 54:

54, 108, 162, 216, 270, 324, 378, 432, 486, 540


Therefore,

LCM(42, 54) = 378