Least Common Multiple (LCM) of 192 and 56
The least common multiple (LCM) of 192 and 56 is 1344.
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 56?
First, calculate the GCD of 192 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 56 = 3 remainder 24 |
| 2 | 56 ÷ 24 = 2 remainder 8 |
| 3 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 168 | 4200 |
| 29 and 59 | 1711 |
| 30 and 73 | 2190 |
| 21 and 59 | 1239 |
| 128 and 178 | 11392 |