Least Common Multiple (LCM) of 198 and 173
The least common multiple (LCM) of 198 and 173 is 34254.
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 198 and 173?
First, calculate the GCD of 198 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 173 = 1 remainder 25 |
| 2 | 173 ÷ 25 = 6 remainder 23 |
| 3 | 25 ÷ 23 = 1 remainder 2 |
| 4 | 23 ÷ 2 = 11 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 165 | 13695 |
| 164 and 38 | 3116 |
| 194 and 54 | 5238 |
| 196 and 61 | 11956 |
| 110 and 81 | 8910 |