Least Common Multiple (LCM) of 192 and 76
The least common multiple (LCM) of 192 and 76 is 3648.
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 76?
First, calculate the GCD of 192 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 76 = 2 remainder 40 |
| 2 | 76 ÷ 40 = 1 remainder 36 |
| 3 | 40 ÷ 36 = 1 remainder 4 |
| 4 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 158 | 3634 |
| 136 and 143 | 19448 |
| 152 and 92 | 3496 |
| 153 and 64 | 9792 |
| 58 and 37 | 2146 |