Least Common Multiple  of 42 and 46 is 966

How to find the Least Common Multiple of 42 and 46?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 42 and 46.

Follow the steps below, and let's calculate the LCM of 42 and 46.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 42 and 46:

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 46

The prime factors of 46 are 2 and 23. Prime factorization of 46 in exponential form is:

46 = 21x231


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

21, 31, 71, 231


Step 3: Multiply these values together:

21x31x71x231=966


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 42 and 46.

The Least Common Multiple of 42 and 46 is 966.


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, 546, 588, 630, 672, 714, 756, 798, 840, 882, 924, 966, 1008, 1050, 1092

Multiples of 46:

46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1012, 1058, 1104


Therefore,

LCM(42, 46) = 966