Least Common Multiple (LCM) of 87 and 173
The least common multiple (LCM) of 87 and 173 is 15051.
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 87 and 173?
First, calculate the GCD of 87 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 173 = 0 remainder 87 |
| 2 | 173 ÷ 87 = 1 remainder 86 |
| 3 | 87 ÷ 86 = 1 remainder 1 |
| 4 | 86 ÷ 1 = 86 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 143 | 28457 |
| 200 and 71 | 14200 |
| 164 and 21 | 3444 |
| 104 and 144 | 1872 |
| 173 and 35 | 6055 |