Least Common Multiple (LCM) of 167 and 194
The least common multiple (LCM) of 167 and 194 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 167 and 194?
First, calculate the GCD of 167 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 194 = 0 remainder 167 |
| 2 | 194 ÷ 167 = 1 remainder 27 |
| 3 | 167 ÷ 27 = 6 remainder 5 |
| 4 | 27 ÷ 5 = 5 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 170 | 3910 |
| 103 and 182 | 18746 |
| 31 and 53 | 1643 |
| 152 and 50 | 3800 |
| 43 and 144 | 6192 |