Least Common Multiple (LCM) of 164 and 192
The least common multiple (LCM) of 164 and 192 is 7872.
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 164 and 192?
First, calculate the GCD of 164 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 192 = 0 remainder 164 |
| 2 | 192 ÷ 164 = 1 remainder 28 |
| 3 | 164 ÷ 28 = 5 remainder 24 |
| 4 | 28 ÷ 24 = 1 remainder 4 |
| 5 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 165 | 22605 |
| 54 and 95 | 5130 |
| 72 and 51 | 1224 |
| 24 and 153 | 1224 |
| 43 and 32 | 1376 |