Least Common Multiple (LCM) of 186 and 173
The least common multiple (LCM) of 186 and 173 is 32178.
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 186 and 173?
First, calculate the GCD of 186 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 173 = 1 remainder 13 |
| 2 | 173 ÷ 13 = 13 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 12 | 144 |
| 146 and 122 | 8906 |
| 199 and 147 | 29253 |
| 104 and 42 | 2184 |
| 157 and 170 | 26690 |