Least Common Multiple (LCM) of 20 and 128
The least common multiple (LCM) of 20 and 128 is 640.
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 20 and 128?
First, calculate the GCD of 20 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 128 = 0 remainder 20 |
| 2 | 128 ÷ 20 = 6 remainder 8 |
| 3 | 20 ÷ 8 = 2 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 131 | 21877 |
| 146 and 162 | 11826 |
| 39 and 16 | 624 |
| 70 and 96 | 3360 |
| 149 and 198 | 29502 |