Least Common Multiple (LCM) of 167 and 173
The least common multiple (LCM) of 167 and 173 is 28891.
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 173?
First, calculate the GCD of 167 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 173 = 0 remainder 167 |
| 2 | 173 ÷ 167 = 1 remainder 6 |
| 3 | 167 ÷ 6 = 27 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 16 | 1840 |
| 193 and 78 | 15054 |
| 23 and 12 | 276 |
| 177 and 182 | 32214 |
| 13 and 19 | 247 |