Least Common Multiple (LCM) of 193 and 165
The least common multiple (LCM) of 193 and 165 is 31845.
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 165?
First, calculate the GCD of 193 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 165 = 1 remainder 28 |
| 2 | 165 ÷ 28 = 5 remainder 25 |
| 3 | 28 ÷ 25 = 1 remainder 3 |
| 4 | 25 ÷ 3 = 8 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 65 | 1950 |
| 185 and 59 | 10915 |
| 143 and 161 | 23023 |
| 162 and 125 | 20250 |
| 173 and 64 | 11072 |