Least Common Multiple (LCM) of 193 and 41
The least common multiple (LCM) of 193 and 41 is 7913.
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 41?
First, calculate the GCD of 193 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 41 = 4 remainder 29 |
| 2 | 41 ÷ 29 = 1 remainder 12 |
| 3 | 29 ÷ 12 = 2 remainder 5 |
| 4 | 12 ÷ 5 = 2 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 121 | 16819 |
| 171 and 88 | 15048 |
| 75 and 64 | 4800 |
| 15 and 109 | 1635 |
| 124 and 75 | 9300 |