Least Common Multiple (LCM) of 187 and 173
The least common multiple (LCM) of 187 and 173 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 187 and 173?
First, calculate the GCD of 187 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 173 = 1 remainder 14 |
| 2 | 173 ÷ 14 = 12 remainder 5 |
| 3 | 14 ÷ 5 = 2 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 32 | 1888 |
| 67 and 180 | 12060 |
| 167 and 107 | 17869 |
| 77 and 190 | 14630 |
| 86 and 15 | 1290 |