Least Common Multiple (LCM) of 128 and 116
The least common multiple (LCM) of 128 and 116 is 3712.
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 116?
First, calculate the GCD of 128 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 116 = 1 remainder 12 |
| 2 | 116 ÷ 12 = 9 remainder 8 |
| 3 | 12 ÷ 8 = 1 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 103 | 16274 |
| 71 and 152 | 10792 |
| 14 and 59 | 826 |
| 144 and 107 | 15408 |
| 178 and 136 | 12104 |