Least Common Multiple (LCM) of 141 and 199
The least common multiple (LCM) of 141 and 199 is 28059.
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 141 and 199?
First, calculate the GCD of 141 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 199 = 0 remainder 141 |
| 2 | 199 ÷ 141 = 1 remainder 58 |
| 3 | 141 ÷ 58 = 2 remainder 25 |
| 4 | 58 ÷ 25 = 2 remainder 8 |
| 5 | 25 ÷ 8 = 3 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 177 | 10974 |
| 185 and 83 | 15355 |
| 140 and 126 | 1260 |
| 78 and 177 | 4602 |
| 199 and 103 | 20497 |