Least Common Multiple (LCM) of 168 and 194
The least common multiple (LCM) of 168 and 194 is 16296.
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 194?
First, calculate the GCD of 168 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 194 = 0 remainder 168 |
| 2 | 194 ÷ 168 = 1 remainder 26 |
| 3 | 168 ÷ 26 = 6 remainder 12 |
| 4 | 26 ÷ 12 = 2 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 83 | 11205 |
| 75 and 155 | 2325 |
| 110 and 194 | 10670 |
| 132 and 137 | 18084 |
| 193 and 175 | 33775 |