Least Common Multiple (LCM) of 128 and 156
The least common multiple (LCM) of 128 and 156 is 4992.
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 156?
First, calculate the GCD of 128 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 156 = 0 remainder 128 |
| 2 | 156 ÷ 128 = 1 remainder 28 |
| 3 | 128 ÷ 28 = 4 remainder 16 |
| 4 | 28 ÷ 16 = 1 remainder 12 |
| 5 | 16 ÷ 12 = 1 remainder 4 |
| 6 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 30 | 1830 |
| 23 and 43 | 989 |
| 106 and 65 | 6890 |
| 109 and 85 | 9265 |
| 105 and 190 | 3990 |