Least Common Multiple (LCM) of 128 and 71
The least common multiple (LCM) of 128 and 71 is 9088.
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 71?
First, calculate the GCD of 128 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 71 = 1 remainder 57 |
| 2 | 71 ÷ 57 = 1 remainder 14 |
| 3 | 57 ÷ 14 = 4 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 138 | 10902 |
| 151 and 121 | 18271 |
| 35 and 26 | 910 |
| 78 and 56 | 2184 |
| 31 and 169 | 5239 |