Least Common Multiple (LCM) of 161 and 192
The least common multiple (LCM) of 161 and 192 is 30912.
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 161 and 192?
First, calculate the GCD of 161 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 192 = 0 remainder 161 |
| 2 | 192 ÷ 161 = 1 remainder 31 |
| 3 | 161 ÷ 31 = 5 remainder 6 |
| 4 | 31 ÷ 6 = 5 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 105 | 17115 |
| 60 and 21 | 420 |
| 80 and 17 | 1360 |
| 118 and 16 | 944 |
| 135 and 12 | 540 |