Least Common Multiple (LCM) of 150 and 128
The least common multiple (LCM) of 150 and 128 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 150 and 128?
First, calculate the GCD of 150 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 128 = 1 remainder 22 |
| 2 | 128 ÷ 22 = 5 remainder 18 |
| 3 | 22 ÷ 18 = 1 remainder 4 |
| 4 | 18 ÷ 4 = 4 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 37 | 5143 |
| 24 and 78 | 312 |
| 11 and 21 | 231 |
| 13 and 155 | 2015 |
| 133 and 42 | 798 |