Least Common Multiple (LCM) of 193 and 35
The least common multiple (LCM) of 193 and 35 is 6755.
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 35?
First, calculate the GCD of 193 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 35 = 5 remainder 18 |
| 2 | 35 ÷ 18 = 1 remainder 17 |
| 3 | 18 ÷ 17 = 1 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 131 | 1441 |
| 169 and 169 | 169 |
| 179 and 187 | 33473 |
| 104 and 101 | 10504 |
| 54 and 111 | 1998 |