Least Common Multiple (LCM) of 24 and 32
The least common multiple (LCM) of 24 and 32 is 96.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 24 and 32?
First, calculate the GCD of 24 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 32 = 0 remainder 24 |
| 2 | 32 ÷ 24 = 1 remainder 8 |
| 3 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 34 | 3230 |
| 21 and 97 | 2037 |
| 71 and 113 | 8023 |
| 120 and 148 | 4440 |
| 75 and 47 | 3525 |