Least Common Multiple (LCM) of 116 and 121
The least common multiple (LCM) of 116 and 121 is 14036.
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 121?
First, calculate the GCD of 116 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 121 = 0 remainder 116 |
| 2 | 121 ÷ 116 = 1 remainder 5 |
| 3 | 116 ÷ 5 = 23 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 27 | 5373 |
| 37 and 180 | 6660 |
| 188 and 17 | 3196 |
| 76 and 65 | 4940 |
| 157 and 81 | 12717 |