How to find the Least Common Multiple of 39 and 51?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 39 and 51.
Follow the steps below, and let's calculate the LCM of 39 and 51.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 39 and 51:
Prime factors of 39
The prime factors of 39 are 3 and 13. Prime factorization of 39 in exponential form is:
39 = 31x131
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:
31, 131, 171
Step 3: Multiply these values together:
31x131x171=663
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 39 and 51.
The Least Common Multiple of 39 and 51 is 663.
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 39:
39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702, 741, 780
Multiples of 51:
51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612, 663, 714, 765, 816
Therefore,
LCM(39, 51) = 663