Least Common Multiple (LCM) of 111 and 93
The least common multiple (LCM) of 111 and 93 is 3441.
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 93?
First, calculate the GCD of 111 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 93 = 1 remainder 18 |
| 2 | 93 ÷ 18 = 5 remainder 3 |
| 3 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 29 | 2900 |
| 28 and 171 | 4788 |
| 20 and 80 | 80 |
| 43 and 187 | 8041 |
| 56 and 23 | 1288 |