Least Common Multiple (LCM) of 185 and 193
The least common multiple (LCM) of 185 and 193 is 35705.
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 185 and 193?
First, calculate the GCD of 185 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 193 = 0 remainder 185 |
| 2 | 193 ÷ 185 = 1 remainder 8 |
| 3 | 185 ÷ 8 = 23 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 58 | 812 |
| 192 and 65 | 12480 |
| 171 and 127 | 21717 |
| 61 and 99 | 6039 |
| 29 and 161 | 4669 |