How to find the Least Common Multiple of 17 and 29?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 17 and 29.
Follow the steps below, and let's calculate the LCM of 17 and 29.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 17 and 29:
Prime factors of 17
The prime factors of 17 are 17. Prime factorization of 17 in exponential form is:
17 = 171
Prime factors of 29
The prime factors of 29 are 29. Prime factorization of 29 in exponential form is:
29 = 291
Step 2: Identify the highest power of each prime number from the above boxes:
171, 291
Step 3: Multiply these values together:
171x291=493
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 17 and 29.
The Least Common Multiple of 17 and 29 is 493.
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 17:
17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510, 527, 544
Multiples of 29:
29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 435, 464, 493, 522, 551, 580
Therefore,
LCM(17, 29) = 493