Least Common Multiple (LCM) of 116 and 111
The least common multiple (LCM) of 116 and 111 is 12876.
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 111?
First, calculate the GCD of 116 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 111 = 1 remainder 5 |
| 2 | 111 ÷ 5 = 22 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 161 | 161 |
| 146 and 34 | 2482 |
| 40 and 109 | 4360 |
| 48 and 115 | 5520 |
| 130 and 196 | 12740 |