Least Common Multiple (LCM) of 116 and 116
The least common multiple (LCM) of 116 and 116 is 116.
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 116 and 116?
First, calculate the GCD of 116 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 116 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 121 | 16093 |
| 14 and 170 | 1190 |
| 75 and 78 | 1950 |
| 17 and 106 | 1802 |
| 187 and 133 | 24871 |