How to find the Least Common Multiple of 26 and 33?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 26 and 33.
Follow the steps below, and let's calculate the LCM of 26 and 33.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 26 and 33:
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 33
The prime factors of 33 are 3 and 11. Prime factorization of 33 in exponential form is:
33 = 31x111
Step 2: Identify the highest power of each prime number from the above boxes:
21, 131, 31, 111
Step 3: Multiply these values together:
21x131x31x111=858
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 26 and 33.
The Least Common Multiple of 26 and 33 is 858.
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, 910, 936
Multiples of 33:
33, 66, 99, 132, 165, 198, 231, 264, 297, 330, 363, 396, 429, 462, 495, 528, 561, 594, 627, 660, 693, 726, 759, 792, 825, 858, 891, 924, 957
Therefore,
LCM(26, 33) = 858