Least Common Multiple (LCM) of 198 and 176
The least common multiple (LCM) of 198 and 176 is 1584.
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 176?
First, calculate the GCD of 198 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 176 = 1 remainder 22 |
| 2 | 176 ÷ 22 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 174 | 10266 |
| 14 and 76 | 532 |
| 82 and 73 | 5986 |
| 149 and 113 | 16837 |
| 47 and 136 | 6392 |