How to find the Least Common Multiple of 15 and 26?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 15 and 26.
Follow the steps below, and let's calculate the LCM of 15 and 26.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 15 and 26:
Prime factors of 15
The prime factors of 15 are 3 and 5. Prime factorization of 15 in exponential form is:
15 = 31x51
Prime factors of 26
The prime factors of 26 are 2 and 13. Prime factorization of 26 in exponential form is:
26 = 21x131
Step 2: Identify the highest power of each prime number from the above boxes:
31, 51, 21, 131
Step 3: Multiply these values together:
31x51x21x131=390
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 15 and 26.
The Least Common Multiple of 15 and 26 is 390.
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 15:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435
Multiples of 26:
26, 52, 78, 104, 130, 156, 182, 208, 234, 260, 286, 312, 338, 364, 390, 416, 442, 468
Therefore,
LCM(15, 26) = 390