Least Common Multiple (LCM) of 168 and 94
The least common multiple (LCM) of 168 and 94 is 7896.
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 168 and 94?
First, calculate the GCD of 168 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 94 = 1 remainder 74 |
| 2 | 94 ÷ 74 = 1 remainder 20 |
| 3 | 74 ÷ 20 = 3 remainder 14 |
| 4 | 20 ÷ 14 = 1 remainder 6 |
| 5 | 14 ÷ 6 = 2 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 67 | 3819 |
| 85 and 47 | 3995 |
| 200 and 110 | 2200 |
| 34 and 159 | 5406 |
| 38 and 61 | 2318 |