Least Common Multiple (LCM) of 192 and 40
The least common multiple (LCM) of 192 and 40 is 960.
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 192 and 40?
First, calculate the GCD of 192 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 40 = 4 remainder 32 |
| 2 | 40 ÷ 32 = 1 remainder 8 |
| 3 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 32 | 1056 |
| 84 and 143 | 12012 |
| 113 and 192 | 21696 |
| 176 and 149 | 26224 |
| 152 and 42 | 3192 |