Least Common Multiple (LCM) of 163 and 166
The least common multiple (LCM) of 163 and 166 is 27058.
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 163 and 166?
First, calculate the GCD of 163 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 166 = 0 remainder 163 |
| 2 | 166 ÷ 163 = 1 remainder 3 |
| 3 | 163 ÷ 3 = 54 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 105 | 15960 |
| 154 and 79 | 12166 |
| 101 and 95 | 9595 |
| 74 and 35 | 2590 |
| 180 and 199 | 35820 |