Least Common Multiple (LCM) of 128 and 150
The least common multiple (LCM) of 128 and 150 is 9600.
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 150?
First, calculate the GCD of 128 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 150 = 0 remainder 128 |
| 2 | 150 ÷ 128 = 1 remainder 22 |
| 3 | 128 ÷ 22 = 5 remainder 18 |
| 4 | 22 ÷ 18 = 1 remainder 4 |
| 5 | 18 ÷ 4 = 4 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 199 | 7164 |
| 10 and 131 | 1310 |
| 86 and 148 | 6364 |
| 53 and 19 | 1007 |
| 77 and 163 | 12551 |