How to find the Least Common Multiple of 30 and 39?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 30 and 39.
Follow the steps below, and let's calculate the LCM of 30 and 39.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 30 and 39:
Prime factors of 30
The prime factors of 30 are 2, 3 and 5. Prime factorization of 30 in exponential form is:
30 = 21x31x51
Prime factors of 39
The prime factors of 39 are 3 and 13. Prime factorization of 39 in exponential form is:
39 = 31x131
Step 2: Identify the highest power of each prime number from the above boxes:
21, 31, 51, 131
Step 3: Multiply these values together:
21x31x51x131=390
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 30 and 39.
The Least Common Multiple of 30 and 39 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 30:
30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480
Multiples of 39:
39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507
Therefore,
LCM(30, 39) = 390