what is the lowest common multiple of 32 and 40
160 :D
Multiples of 32: 32*1 = 32, 32*2 = 64.
Therefore 32 and 64 are multiples of 32.
Multiples of 32: 32, 64, 96, 128, 160.
Multiples of 40: 40: 40, 80, 120, 160.
LCM = 160.
Correction:
Multiples of 40: 40, 80, 120, 160.
To find the lowest common multiple (LCM) of two numbers, you need to find the smallest number that both numbers divide evenly into. Here's how you can calculate the LCM of 32 and 40:
Step 1: Determine the prime factors of each number:
- Prime factors of 32: 2 x 2 x 2 x 2 x 2 = 2^5
- Prime factors of 40: 2 x 2 x 2 x 5 = 2^3 x 5
Step 2: Write down the highest power of each prime factor that appears in either number:
- Prime factor 2: highest power is 2^5
- Prime factor 5: highest power is 5
Step 3: Multiply all the prime factors with their highest powers to get the LCM:
LCM = 2^5 x 5 = 32 x 5 = 160
Therefore, the lowest common multiple of 32 and 40 is 160.