Least Common Multiple (LCM) of 111 and 94
The least common multiple (LCM) of 111 and 94 is 10434.
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 94?
First, calculate the GCD of 111 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 94 = 1 remainder 17 |
| 2 | 94 ÷ 17 = 5 remainder 9 |
| 3 | 17 ÷ 9 = 1 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 190 | 37810 |
| 32 and 134 | 2144 |
| 137 and 14 | 1918 |
| 43 and 25 | 1075 |
| 125 and 195 | 4875 |