Least Common Multiple (LCM) of 167 and 181
The least common multiple (LCM) of 167 and 181 is 30227.
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 181?
First, calculate the GCD of 167 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 181 = 0 remainder 167 |
| 2 | 181 ÷ 167 = 1 remainder 14 |
| 3 | 167 ÷ 14 = 11 remainder 13 |
| 4 | 14 ÷ 13 = 1 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 20 | 1260 |
| 163 and 78 | 12714 |
| 14 and 76 | 532 |
| 150 and 15 | 150 |
| 136 and 24 | 408 |