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 |
|---|---|
| 41 and 187 | 7667 |
| 12 and 42 | 84 |
| 198 and 178 | 17622 |
| 182 and 157 | 28574 |
| 193 and 21 | 4053 |