Least Common Multiple (LCM) of 193 and 11
The least common multiple (LCM) of 193 and 11 is 2123.
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 11?
First, calculate the GCD of 193 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 11 = 17 remainder 6 |
| 2 | 11 ÷ 6 = 1 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 15 | 705 |
| 118 and 158 | 9322 |
| 120 and 99 | 3960 |
| 101 and 62 | 6262 |
| 195 and 168 | 10920 |