Least Common Multiple (LCM) of 198 and 62
The least common multiple (LCM) of 198 and 62 is 6138.
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 62?
First, calculate the GCD of 198 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 62 = 3 remainder 12 |
| 2 | 62 ÷ 12 = 5 remainder 2 |
| 3 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 105 | 4515 |
| 85 and 21 | 1785 |
| 139 and 178 | 24742 |
| 177 and 89 | 15753 |
| 51 and 104 | 5304 |