Least Common Multiple (LCM) of 176 and 198
The least common multiple (LCM) of 176 and 198 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 176 and 198?
First, calculate the GCD of 176 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 198 = 0 remainder 176 |
| 2 | 198 ÷ 176 = 1 remainder 22 |
| 3 | 176 ÷ 22 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 172 | 688 |
| 147 and 129 | 6321 |
| 76 and 22 | 836 |
| 32 and 41 | 1312 |
| 66 and 23 | 1518 |