Least Common Multiple (LCM) of 168 and 198
The least common multiple (LCM) of 168 and 198 is 5544.
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 168 and 198?
First, calculate the GCD of 168 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 198 = 0 remainder 168 |
| 2 | 198 ÷ 168 = 1 remainder 30 |
| 3 | 168 ÷ 30 = 5 remainder 18 |
| 4 | 30 ÷ 18 = 1 remainder 12 |
| 5 | 18 ÷ 12 = 1 remainder 6 |
| 6 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 124 | 6572 |
| 69 and 152 | 10488 |
| 136 and 73 | 9928 |
| 46 and 194 | 4462 |
| 60 and 140 | 420 |