Least Common Multiple (LCM) of 199 and 177
The least common multiple (LCM) of 199 and 177 is 35223.
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 177?
First, calculate the GCD of 199 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 177 = 1 remainder 22 |
| 2 | 177 ÷ 22 = 8 remainder 1 |
| 3 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 20 | 980 |
| 122 and 28 | 1708 |
| 136 and 44 | 1496 |
| 75 and 148 | 11100 |
| 165 and 102 | 5610 |