Least Common Multiple (LCM) of 94 and 86
The least common multiple (LCM) of 94 and 86 is 4042.
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 86?
First, calculate the GCD of 94 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 86 = 1 remainder 8 |
| 2 | 86 ÷ 8 = 10 remainder 6 |
| 3 | 8 ÷ 6 = 1 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 100 | 700 |
| 180 and 186 | 5580 |
| 176 and 196 | 8624 |
| 145 and 131 | 18995 |
| 108 and 133 | 14364 |