Least Common Multiple (LCM) of 193 and 38
The least common multiple (LCM) of 193 and 38 is 7334.
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 38?
First, calculate the GCD of 193 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 38 = 5 remainder 3 |
| 2 | 38 ÷ 3 = 12 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 21 | 357 |
| 108 and 152 | 4104 |
| 123 and 132 | 5412 |
| 83 and 65 | 5395 |
| 72 and 37 | 2664 |