Least Common Multiple (LCM) of 167 and 193
The least common multiple (LCM) of 167 and 193 is 32231.
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 193?
First, calculate the GCD of 167 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 193 = 0 remainder 167 |
| 2 | 193 ÷ 167 = 1 remainder 26 |
| 3 | 167 ÷ 26 = 6 remainder 11 |
| 4 | 26 ÷ 11 = 2 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 161 | 644 |
| 50 and 21 | 1050 |
| 174 and 154 | 13398 |
| 52 and 32 | 416 |
| 197 and 97 | 19109 |