Least Common Multiple (LCM) of 44 and 193
The least common multiple (LCM) of 44 and 193 is 8492.
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 44 and 193?
First, calculate the GCD of 44 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 193 = 0 remainder 44 |
| 2 | 193 ÷ 44 = 4 remainder 17 |
| 3 | 44 ÷ 17 = 2 remainder 10 |
| 4 | 17 ÷ 10 = 1 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 148 | 19980 |
| 125 and 29 | 3625 |
| 147 and 196 | 588 |
| 51 and 120 | 2040 |
| 177 and 90 | 5310 |