Least Common Multiple (LCM) of 141 and 193
The least common multiple (LCM) of 141 and 193 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 141 and 193?
First, calculate the GCD of 141 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 193 = 0 remainder 141 |
| 2 | 193 ÷ 141 = 1 remainder 52 |
| 3 | 141 ÷ 52 = 2 remainder 37 |
| 4 | 52 ÷ 37 = 1 remainder 15 |
| 5 | 37 ÷ 15 = 2 remainder 7 |
| 6 | 15 ÷ 7 = 2 remainder 1 |
| 7 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 83 | 6059 |
| 157 and 116 | 18212 |
| 130 and 165 | 4290 |
| 177 and 96 | 5664 |
| 105 and 192 | 6720 |