Least Common Multiple (LCM) of 185 and 73
The least common multiple (LCM) of 185 and 73 is 13505.
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 73?
First, calculate the GCD of 185 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 73 = 2 remainder 39 |
| 2 | 73 ÷ 39 = 1 remainder 34 |
| 3 | 39 ÷ 34 = 1 remainder 5 |
| 4 | 34 ÷ 5 = 6 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 166 | 9794 |
| 179 and 54 | 9666 |
| 193 and 162 | 31266 |
| 161 and 18 | 2898 |
| 150 and 68 | 5100 |