Least Common Multiple (LCM) of 193 and 49
The least common multiple (LCM) of 193 and 49 is 9457.
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 49?
First, calculate the GCD of 193 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 49 = 3 remainder 46 |
| 2 | 49 ÷ 46 = 1 remainder 3 |
| 3 | 46 ÷ 3 = 15 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 112 | 2352 |
| 173 and 120 | 20760 |
| 41 and 60 | 2460 |
| 189 and 184 | 34776 |
| 200 and 77 | 15400 |