Least Common Multiple (LCM) of 163 and 200
The least common multiple (LCM) of 163 and 200 is 32600.
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 200?
First, calculate the GCD of 163 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 200 = 0 remainder 163 |
| 2 | 200 ÷ 163 = 1 remainder 37 |
| 3 | 163 ÷ 37 = 4 remainder 15 |
| 4 | 37 ÷ 15 = 2 remainder 7 |
| 5 | 15 ÷ 7 = 2 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 48 | 336 |
| 45 and 53 | 2385 |
| 132 and 99 | 396 |
| 114 and 158 | 9006 |
| 66 and 116 | 3828 |