Least Common Multiple (LCM) of 164 and 128
The least common multiple (LCM) of 164 and 128 is 5248.
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 128?
First, calculate the GCD of 164 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 128 = 1 remainder 36 |
| 2 | 128 ÷ 36 = 3 remainder 20 |
| 3 | 36 ÷ 20 = 1 remainder 16 |
| 4 | 20 ÷ 16 = 1 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 45 | 720 |
| 70 and 135 | 1890 |
| 40 and 34 | 680 |
| 17 and 161 | 2737 |
| 187 and 180 | 33660 |