Least Common Multiple (LCM) of 167 and 166
The least common multiple (LCM) of 167 and 166 is 27722.
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 166?
First, calculate the GCD of 167 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 166 = 1 remainder 1 |
| 2 | 166 ÷ 1 = 166 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 98 | 6468 |
| 60 and 100 | 300 |
| 77 and 82 | 6314 |
| 138 and 103 | 14214 |
| 184 and 165 | 30360 |