Least Common Multiple (LCM) of 167 and 182
The least common multiple (LCM) of 167 and 182 is 30394.
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 182?
First, calculate the GCD of 167 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 182 = 0 remainder 167 |
| 2 | 182 ÷ 167 = 1 remainder 15 |
| 3 | 167 ÷ 15 = 11 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 187 | 36278 |
| 115 and 168 | 19320 |
| 111 and 65 | 7215 |
| 184 and 12 | 552 |
| 142 and 191 | 27122 |