Least Common Multiple (LCM) of 192 and 140
The least common multiple (LCM) of 192 and 140 is 6720.
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 140?
First, calculate the GCD of 192 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 140 = 1 remainder 52 |
| 2 | 140 ÷ 52 = 2 remainder 36 |
| 3 | 52 ÷ 36 = 1 remainder 16 |
| 4 | 36 ÷ 16 = 2 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 78 | 7410 |
| 151 and 147 | 22197 |
| 104 and 172 | 4472 |
| 125 and 161 | 20125 |
| 134 and 71 | 9514 |