Least Common Multiple (LCM) of 128 and 132
The least common multiple (LCM) of 128 and 132 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 132?
First, calculate the GCD of 128 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 132 = 0 remainder 128 |
| 2 | 132 ÷ 128 = 1 remainder 4 |
| 3 | 128 ÷ 4 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 193 | 35705 |
| 148 and 117 | 17316 |
| 123 and 58 | 7134 |
| 153 and 121 | 18513 |
| 30 and 135 | 270 |