Least Common Multiple (LCM) of 163 and 171
The least common multiple (LCM) of 163 and 171 is 27873.
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 171?
First, calculate the GCD of 163 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 171 = 0 remainder 163 |
| 2 | 171 ÷ 163 = 1 remainder 8 |
| 3 | 163 ÷ 8 = 20 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 112 | 336 |
| 129 and 137 | 17673 |
| 147 and 101 | 14847 |
| 84 and 114 | 1596 |
| 84 and 40 | 840 |