Least Common Multiple (LCM) of 111 and 146
The least common multiple (LCM) of 111 and 146 is 16206.
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 111 and 146?
First, calculate the GCD of 111 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 146 = 0 remainder 111 |
| 2 | 146 ÷ 111 = 1 remainder 35 |
| 3 | 111 ÷ 35 = 3 remainder 6 |
| 4 | 35 ÷ 6 = 5 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 135 | 2565 |
| 77 and 119 | 1309 |
| 191 and 105 | 20055 |
| 173 and 162 | 28026 |
| 89 and 90 | 8010 |