How to find the Least Common Multiple of 26 and 31?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 26 and 31.
Follow the steps below, and let's calculate the LCM of 26 and 31.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 26 and 31:
Prime factors of 26
The prime factors of 26 are 2 and 13. Prime factorization of 26 in exponential form is:
26 = 21x131
Prime factors of 31
The prime factors of 31 are 31. Prime factorization of 31 in exponential form is:
31 = 311
Step 2: Identify the highest power of each prime number from the above boxes:
21, 131, 311
Step 3: Multiply these values together:
21x131x311=806
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 26 and 31.
The Least Common Multiple of 26 and 31 is 806.
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 26:
26, 52, 78, 104, 130, 156, 182, 208, 234, 260, 286, 312, 338, 364, 390, 416, 442, 468, 494, 520, 546, 572, 598, 624, 650, 676, 702, 728, 754, 780, 806, 832, 858, 884
Multiples of 31:
31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527, 558, 589, 620, 651, 682, 713, 744, 775, 806, 837, 868, 899
Therefore,
LCM(26, 31) = 806