Least Common Multiple (LCM) of 114 and 94
The least common multiple (LCM) of 114 and 94 is 5358.
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 114 and 94?
First, calculate the GCD of 114 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 94 = 1 remainder 20 |
| 2 | 94 ÷ 20 = 4 remainder 14 |
| 3 | 20 ÷ 14 = 1 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 19 | 1995 |
| 105 and 129 | 4515 |
| 178 and 96 | 8544 |
| 25 and 37 | 925 |
| 100 and 108 | 2700 |