Least Common Multiple (LCM) of 160 and 192
The least common multiple (LCM) of 160 and 192 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 160 and 192?
First, calculate the GCD of 160 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 192 = 0 remainder 160 |
| 2 | 192 ÷ 160 = 1 remainder 32 |
| 3 | 160 ÷ 32 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 100 | 18700 |
| 150 and 29 | 4350 |
| 154 and 197 | 30338 |
| 98 and 89 | 8722 |
| 112 and 116 | 3248 |