How to find the Least Common Multiple of 40 and 46?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 40 and 46.
Follow the steps below, and let's calculate the LCM of 40 and 46.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 40 and 46:
Prime factors of 40
The prime factors of 40 are 2, 2, 2 and 5. Prime factorization of 40 in exponential form is:
40 = 23x51
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:
23, 51, 231
Step 3: Multiply these values together:
23x51x231=920
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 40 and 46.
The Least Common Multiple of 40 and 46 is 920.
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 40:
40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040
Multiples of 46:
46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1012, 1058
Therefore,
LCM(40, 46) = 920