Least Common Multiple (LCM) of 193 and 141
The least common multiple (LCM) of 193 and 141 is 27213.
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 193 and 141?
First, calculate the GCD of 193 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 141 = 1 remainder 52 |
| 2 | 141 ÷ 52 = 2 remainder 37 |
| 3 | 52 ÷ 37 = 1 remainder 15 |
| 4 | 37 ÷ 15 = 2 remainder 7 |
| 5 | 15 ÷ 7 = 2 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 43 | 129 |
| 123 and 188 | 23124 |
| 41 and 31 | 1271 |
| 103 and 199 | 20497 |
| 168 and 174 | 4872 |