Least Common Multiple (LCM) of 173 and 185
The least common multiple (LCM) of 173 and 185 is 32005.
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 173 and 185?
First, calculate the GCD of 173 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 185 = 0 remainder 173 |
| 2 | 185 ÷ 173 = 1 remainder 12 |
| 3 | 173 ÷ 12 = 14 remainder 5 |
| 4 | 12 ÷ 5 = 2 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 70 | 6930 |
| 128 and 166 | 10624 |
| 140 and 157 | 21980 |
| 82 and 88 | 3608 |
| 32 and 77 | 2464 |