Least Common Multiple (LCM) of 192 and 160
The least common multiple (LCM) of 192 and 160 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 192 and 160?
First, calculate the GCD of 192 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 160 = 1 remainder 32 |
| 2 | 160 ÷ 32 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 10 | 1090 |
| 78 and 79 | 6162 |
| 166 and 50 | 4150 |
| 176 and 91 | 16016 |
| 89 and 96 | 8544 |