Least Common Multiple (LCM) of 173 and 187
The least common multiple (LCM) of 173 and 187 is 32351.
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 187?
First, calculate the GCD of 173 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 187 = 0 remainder 173 |
| 2 | 187 ÷ 173 = 1 remainder 14 |
| 3 | 173 ÷ 14 = 12 remainder 5 |
| 4 | 14 ÷ 5 = 2 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 189 | 2457 |
| 32 and 164 | 1312 |
| 58 and 119 | 6902 |
| 72 and 169 | 12168 |
| 137 and 28 | 3836 |