Least Common Multiple (LCM) of 128 and 33
The least common multiple (LCM) of 128 and 33 is 4224.
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 128 and 33?
First, calculate the GCD of 128 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 33 = 3 remainder 29 |
| 2 | 33 ÷ 29 = 1 remainder 4 |
| 3 | 29 ÷ 4 = 7 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 200 | 23400 |
| 128 and 90 | 5760 |
| 133 and 116 | 15428 |
| 78 and 55 | 4290 |
| 170 and 132 | 11220 |