Least Common Multiple (LCM) of 173 and 99
The least common multiple (LCM) of 173 and 99 is 17127.
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 99?
First, calculate the GCD of 173 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 99 = 1 remainder 74 |
| 2 | 99 ÷ 74 = 1 remainder 25 |
| 3 | 74 ÷ 25 = 2 remainder 24 |
| 4 | 25 ÷ 24 = 1 remainder 1 |
| 5 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 45 | 495 |
| 193 and 177 | 34161 |
| 123 and 121 | 14883 |
| 164 and 38 | 3116 |
| 50 and 104 | 2600 |