Least Common Multiple (LCM) of 13 and 173
The least common multiple (LCM) of 13 and 173 is 2249.
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 13 and 173?
First, calculate the GCD of 13 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 13 ÷ 173 = 0 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 |
|---|---|
| 160 and 177 | 28320 |
| 154 and 79 | 12166 |
| 89 and 82 | 7298 |
| 144 and 17 | 2448 |
| 40 and 57 | 2280 |