Least Common Multiple (LCM) of 200 and 163
The least common multiple (LCM) of 200 and 163 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 200 and 163?
First, calculate the GCD of 200 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 163 = 1 remainder 37 |
| 2 | 163 ÷ 37 = 4 remainder 15 |
| 3 | 37 ÷ 15 = 2 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 139 | 24325 |
| 64 and 63 | 4032 |
| 31 and 43 | 1333 |
| 101 and 145 | 14645 |
| 143 and 90 | 12870 |