What is the LCM of 24 and 9
Show workings bit by bit
To find the LCM of 24 and 9, we need to find the smallest multiple of both 24 and 9.
First, we can list the multiples of 24 and 9:
Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, ...
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, ...
From this list, we can see that 72 is the smallest multiple that both 24 and 9 share (also known as the least common multiple or LCM).
Therefore,
LCM of 24 and 9 = 72
What is the lowest common multiple of 9, 24
Done in a more standard way:
24 = 2*2*2*3
9 = 3*3
LCM = 2*2*2*3*3 = 72
To find the least common multiple (LCM) of 24 and 9, you can follow these steps:
Step 1: List the prime factors of both numbers.
Prime factors of 24: 2, 2, 2, 3
Prime factors of 9: 3, 3
Step 2: Identify the highest power of each prime factor that appears in either number.
The highest power of 2 is 2^3 (appears three times in 24), and the highest power of 3 is 3^2 (appears twice in 9).
Step 3: Multiply all the identified prime factors together, including their highest powers.
2^3 * 3^2 = 8 * 9 = 72
Therefore, the LCM of 24 and 9 is 72.