Least Common Multiple (LCM) of 128 and 155
The least common multiple (LCM) of 128 and 155 is 19840.
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 155?
First, calculate the GCD of 128 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 155 = 0 remainder 128 |
| 2 | 155 ÷ 128 = 1 remainder 27 |
| 3 | 128 ÷ 27 = 4 remainder 20 |
| 4 | 27 ÷ 20 = 1 remainder 7 |
| 5 | 20 ÷ 7 = 2 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 188 | 27260 |
| 160 and 26 | 2080 |
| 155 and 105 | 3255 |
| 13 and 24 | 312 |
| 90 and 18 | 90 |