Least Common Multiple (LCM) of 166 and 167
The least common multiple (LCM) of 166 and 167 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 166 and 167?
First, calculate the GCD of 166 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 167 = 0 remainder 166 |
| 2 | 167 ÷ 166 = 1 remainder 1 |
| 3 | 166 ÷ 1 = 166 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 10 | 130 |
| 100 and 108 | 2700 |
| 152 and 169 | 25688 |
| 22 and 143 | 286 |
| 96 and 135 | 4320 |