How to find the Least Common Multiple of 34 and 46?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 34 and 46.
Follow the steps below, and let's calculate the LCM of 34 and 46.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 34 and 46:
Prime factors of 34
The prime factors of 34 are 2 and 17. Prime factorization of 34 in exponential form is:
34 = 21x171
Prime factors of 46
The prime factors of 46 are 2 and 23. Prime factorization of 46 in exponential form is:
46 = 21x231
Step 2: Identify the highest power of each prime number from the above boxes:
21, 171, 231
Step 3: Multiply these values together:
21x171x231=782
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 34 and 46.
The Least Common Multiple of 34 and 46 is 782.
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 34:
34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884
Multiples of 46:
46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920
Therefore,
LCM(34, 46) = 782