Least Common Multiple (LCM) of 199 and 127
The least common multiple (LCM) of 199 and 127 is 25273.
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 199 and 127?
First, calculate the GCD of 199 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 127 = 1 remainder 72 |
| 2 | 127 ÷ 72 = 1 remainder 55 |
| 3 | 72 ÷ 55 = 1 remainder 17 |
| 4 | 55 ÷ 17 = 3 remainder 4 |
| 5 | 17 ÷ 4 = 4 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 192 | 1344 |
| 53 and 183 | 9699 |
| 92 and 144 | 3312 |
| 107 and 46 | 4922 |
| 90 and 67 | 6030 |