Least Common Multiple (LCM) of 163 and 173
The least common multiple (LCM) of 163 and 173 is 28199.
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 163 and 173?
First, calculate the GCD of 163 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 173 = 0 remainder 163 |
| 2 | 173 ÷ 163 = 1 remainder 10 |
| 3 | 163 ÷ 10 = 16 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 122 | 8418 |
| 75 and 121 | 9075 |
| 10 and 87 | 870 |
| 162 and 110 | 8910 |
| 138 and 19 | 2622 |