Least Common Multiple (LCM) of 128 and 115
The least common multiple (LCM) of 128 and 115 is 14720.
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 115?
First, calculate the GCD of 128 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 115 = 1 remainder 13 |
| 2 | 115 ÷ 13 = 8 remainder 11 |
| 3 | 13 ÷ 11 = 1 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 114 | 8778 |
| 68 and 146 | 4964 |
| 63 and 30 | 630 |
| 52 and 63 | 3276 |
| 62 and 123 | 7626 |