Least Common Multiple (LCM) of 128 and 168
The least common multiple (LCM) of 128 and 168 is 2688.
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 168?
First, calculate the GCD of 128 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 168 = 0 remainder 128 |
| 2 | 168 ÷ 128 = 1 remainder 40 |
| 3 | 128 ÷ 40 = 3 remainder 8 |
| 4 | 40 ÷ 8 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 155 | 18135 |
| 68 and 96 | 1632 |
| 126 and 126 | 126 |
| 138 and 16 | 1104 |
| 63 and 115 | 7245 |