What is the least common multiple of 8 and 12?
PLEASE SHOW YOUR WORK IF POSSIBLE!
Starting at 8 keep adding 8s and write out the list of numbers.
With 12, start at 12 and keep adding 12s to it and write out that list
Once you see the first number that appears in both lists that's the lowest common multiple. Any other numbers that also appear in both lines of numbers are just common multiples.
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 12: 12, 24, 36, 48
What is the smallest number that is a multiple of both 8 and 12?
Thank you both so much: GanonTEK and Ms.Sue. :)
You're welcome, Amber.
You're welcome
24 is the least common multiple of 8 and 12
24 is divisible by 8 and 12
To find the least common multiple (LCM) of 8 and 12, you can use the prime factorization method. Here's how:
Step 1: Prime factorize both numbers.
8 = 2^3
12 = 2^2 * 3
Step 2: Take the highest exponent of each prime factor.
The prime factorization of the LCM will include every prime factor with the highest exponent from the prime factorization of both numbers.
In this case, we have:
The highest exponent of 2 is 3 from 8 (2^3).
The highest exponent of 3 is 1 from 12 (3^1).
Step 3: Multiply these factors together to find the LCM.
LCM = 2^3 * 3^1 = 8 * 3 = 24
Therefore, the least common multiple of 8 and 12 is 24.
Let me know if you need any further assistance!