How to find the Least Common Multiple of 8 and 19?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 19.
Follow the steps below, and let's calculate the LCM of 8 and 19.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 8 and 19:
Prime factors of 8
The prime factors of 8 are 2, 2 and 2. Prime factorization of 8 in exponential form is:
8 = 23
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:
23, 191
Step 3: Multiply these values together:
23x191=152
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 8 and 19.
The Least Common Multiple of 8 and 19 is 152.
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 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176
Multiples of 19:
19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209
Therefore,
LCM(8, 19) = 152