Least Common Multiple (LCM) of 163 and 174
The least common multiple (LCM) of 163 and 174 is 28362.
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 174?
First, calculate the GCD of 163 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 174 = 0 remainder 163 |
| 2 | 174 ÷ 163 = 1 remainder 11 |
| 3 | 163 ÷ 11 = 14 remainder 9 |
| 4 | 11 ÷ 9 = 1 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 55 | 1100 |
| 69 and 81 | 1863 |
| 10 and 40 | 40 |
| 45 and 182 | 8190 |
| 200 and 189 | 37800 |