Least Common Multiple (LCM) of 200 and 127
The least common multiple (LCM) of 200 and 127 is 25400.
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 127?
First, calculate the GCD of 200 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 127 = 1 remainder 73 |
| 2 | 127 ÷ 73 = 1 remainder 54 |
| 3 | 73 ÷ 54 = 1 remainder 19 |
| 4 | 54 ÷ 19 = 2 remainder 16 |
| 5 | 19 ÷ 16 = 1 remainder 3 |
| 6 | 16 ÷ 3 = 5 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 63 | 4284 |
| 63 and 131 | 8253 |
| 90 and 155 | 2790 |
| 115 and 60 | 1380 |
| 15 and 146 | 2190 |