How to find the Least Common Multiple of 42 and 51?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 42 and 51.
Follow the steps below, and let's calculate the LCM of 42 and 51.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 42 and 51:
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 51
The prime factors of 51 are 3 and 17. Prime factorization of 51 in exponential form is:
51 = 31x171
Step 2: Identify the highest power of each prime number from the above boxes:
21, 31, 71, 171
Step 3: Multiply these values together:
21x31x71x171=714
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 42 and 51.
The Least Common Multiple of 42 and 51 is 714.
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
Multiples of 51:
51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612, 663, 714, 765, 816, 867
Therefore,
LCM(42, 51) = 714