How to find the Least Common Multiple of 12 and 19?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 12 and 19.
Follow the steps below, and let's calculate the LCM of 12 and 19.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 12 and 19:
Prime factors of 12
The prime factors of 12 are 2, 2 and 3. Prime factorization of 12 in exponential form is:
12 = 22x31
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:
22, 31, 191
Step 3: Multiply these values together:
22x31x191=228
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 12 and 19.
The Least Common Multiple of 12 and 19 is 228.
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 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264
Multiples of 19:
19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285
Therefore,
LCM(12, 19) = 228