Least Common Multiple (LCM) of 121 and 128
The least common multiple (LCM) of 121 and 128 is 15488.
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 121 and 128?
First, calculate the GCD of 121 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 128 = 0 remainder 121 |
| 2 | 128 ÷ 121 = 1 remainder 7 |
| 3 | 121 ÷ 7 = 17 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 45 | 360 |
| 135 and 118 | 15930 |
| 59 and 197 | 11623 |
| 48 and 146 | 3504 |
| 36 and 147 | 1764 |