Least Common Multiple (LCM) of 94 and 111
The least common multiple (LCM) of 94 and 111 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 94 and 111?
First, calculate the GCD of 94 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 111 = 0 remainder 94 |
| 2 | 111 ÷ 94 = 1 remainder 17 |
| 3 | 94 ÷ 17 = 5 remainder 9 |
| 4 | 17 ÷ 9 = 1 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 94 | 9212 |
| 102 and 68 | 204 |
| 126 and 13 | 1638 |
| 18 and 152 | 1368 |
| 30 and 192 | 960 |