Least Common Multiple (LCM) of 128 and 76
The least common multiple (LCM) of 128 and 76 is 2432.
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 76?
First, calculate the GCD of 128 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 76 = 1 remainder 52 |
| 2 | 76 ÷ 52 = 1 remainder 24 |
| 3 | 52 ÷ 24 = 2 remainder 4 |
| 4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 78 | 6240 |
| 31 and 13 | 403 |
| 167 and 95 | 15865 |
| 70 and 125 | 1750 |
| 198 and 94 | 9306 |