Least Common Multiple  of 42 and 52 is 1092

How to find the Least Common Multiple of 42 and 52?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 42 and 52.

Follow the steps below, and let's calculate the LCM of 42 and 52.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 42 and 52:

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 52

The prime factors of 52 are 2, 2 and 13. Prime factorization of 52 in exponential form is:

52 = 22x131


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

22, 31, 71, 131


Step 3: Multiply these values together:

22x31x71x131=1092


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 42 and 52.

The Least Common Multiple of 42 and 52 is 1092.


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, 1134, 1176, 1218

Multiples of 52:

52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092, 1144, 1196, 1248


Therefore,

LCM(42, 52) = 1092