Least Common Multiple (LCM) of 163 and 170
The least common multiple (LCM) of 163 and 170 is 27710.
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 170?
First, calculate the GCD of 163 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 170 = 0 remainder 163 |
| 2 | 170 ÷ 163 = 1 remainder 7 |
| 3 | 163 ÷ 7 = 23 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 98 | 16758 |
| 86 and 121 | 10406 |
| 64 and 31 | 1984 |
| 171 and 45 | 855 |
| 184 and 183 | 33672 |