Least Common Multiple (LCM) of 194 and 167
The least common multiple (LCM) of 194 and 167 is 32398.
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 194 and 167?
First, calculate the GCD of 194 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 167 = 1 remainder 27 |
| 2 | 167 ÷ 27 = 6 remainder 5 |
| 3 | 27 ÷ 5 = 5 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 156 | 26988 |
| 149 and 20 | 2980 |
| 166 and 140 | 11620 |
| 82 and 88 | 3608 |
| 145 and 165 | 4785 |