How to find the Least Common Multiple of 15 and 19?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 15 and 19.
Follow the steps below, and let's calculate the LCM of 15 and 19.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 15 and 19:
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 19
The prime factors of 19 are 19. Prime factorization of 19 in exponential form is:
19 = 191
Step 2: Identify the highest power of each prime number from the above boxes:
31, 51, 191
Step 3: Multiply these values together:
31x51x191=285
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 15 and 19.
The Least Common Multiple of 15 and 19 is 285.
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
Multiples of 19:
19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323, 342
Therefore,
LCM(15, 19) = 285