Least Common Multiple (LCM) of 133 and 128
The least common multiple (LCM) of 133 and 128 is 17024.
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 133 and 128?
First, calculate the GCD of 133 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 128 = 1 remainder 5 |
| 2 | 128 ÷ 5 = 25 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 80 | 6640 |
| 50 and 155 | 1550 |
| 156 and 60 | 780 |
| 72 and 40 | 360 |
| 116 and 85 | 9860 |