Least Common Multiple (LCM) of 62 and 198
The least common multiple (LCM) of 62 and 198 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 62 and 198?
First, calculate the GCD of 62 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 198 = 0 remainder 62 |
| 2 | 198 ÷ 62 = 3 remainder 12 |
| 3 | 62 ÷ 12 = 5 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 195 | 585 |
| 132 and 38 | 2508 |
| 195 and 53 | 10335 |
| 126 and 180 | 1260 |
| 16 and 194 | 1552 |