Least Common Multiple (LCM) of 193 and 28
The least common multiple (LCM) of 193 and 28 is 5404.
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 28?
First, calculate the GCD of 193 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 28 = 6 remainder 25 |
| 2 | 28 ÷ 25 = 1 remainder 3 |
| 3 | 25 ÷ 3 = 8 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 151 | 20989 |
| 167 and 123 | 20541 |
| 167 and 26 | 4342 |
| 78 and 150 | 1950 |
| 196 and 32 | 1568 |