How to find the Least Common Multiple of 39 and 45?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 39 and 45.
Follow the steps below, and let's calculate the LCM of 39 and 45.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 39 and 45:
Prime factors of 39
The prime factors of 39 are 3 and 13. Prime factorization of 39 in exponential form is:
39 = 31x131
Prime factors of 45
The prime factors of 45 are 3, 3 and 5. Prime factorization of 45 in exponential form is:
45 = 32x51
Step 2: Identify the highest power of each prime number from the above boxes:
32, 131, 51
Step 3: Multiply these values together:
32x131x51=585
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 39 and 45.
The Least Common Multiple of 39 and 45 is 585.
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 39:
39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702
Multiples of 45:
45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720
Therefore,
LCM(39, 45) = 585