Least Common Multiple (LCM) of 16 and 128
The least common multiple (LCM) of 16 and 128 is 128.
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 16 and 128?
First, calculate the GCD of 16 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 128 = 0 remainder 16 |
| 2 | 128 ÷ 16 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 104 | 13000 |
| 159 and 113 | 17967 |
| 133 and 100 | 13300 |
| 186 and 167 | 31062 |
| 145 and 71 | 10295 |