Least Common Multiple (LCM) of 94 and 168
The least common multiple (LCM) of 94 and 168 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 94 and 168?
First, calculate the GCD of 94 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 168 = 0 remainder 94 |
| 2 | 168 ÷ 94 = 1 remainder 74 |
| 3 | 94 ÷ 74 = 1 remainder 20 |
| 4 | 74 ÷ 20 = 3 remainder 14 |
| 5 | 20 ÷ 14 = 1 remainder 6 |
| 6 | 14 ÷ 6 = 2 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 144 | 5040 |
| 28 and 193 | 5404 |
| 153 and 125 | 19125 |
| 158 and 128 | 10112 |
| 184 and 118 | 10856 |