Least Common Multiple (LCM) of 116 and 94
The least common multiple (LCM) of 116 and 94 is 5452.
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 116 and 94?
First, calculate the GCD of 116 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 94 = 1 remainder 22 |
| 2 | 94 ÷ 22 = 4 remainder 6 |
| 3 | 22 ÷ 6 = 3 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 139 | 24742 |
| 29 and 175 | 5075 |
| 87 and 83 | 7221 |
| 149 and 198 | 29502 |
| 12 and 29 | 348 |