Least Common Multiple (LCM) of 190 and 193
The least common multiple (LCM) of 190 and 193 is 36670.
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 190 and 193?
First, calculate the GCD of 190 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 193 = 0 remainder 190 |
| 2 | 193 ÷ 190 = 1 remainder 3 |
| 3 | 190 ÷ 3 = 63 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 117 | 18837 |
| 87 and 105 | 3045 |
| 145 and 134 | 19430 |
| 40 and 95 | 760 |
| 35 and 30 | 210 |