Least Common Multiple (LCM) of 62 and 199
The least common multiple (LCM) of 62 and 199 is 12338.
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 199?
First, calculate the GCD of 62 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 199 = 0 remainder 62 |
| 2 | 199 ÷ 62 = 3 remainder 13 |
| 3 | 62 ÷ 13 = 4 remainder 10 |
| 4 | 13 ÷ 10 = 1 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 193 | 21809 |
| 192 and 188 | 9024 |
| 172 and 67 | 11524 |
| 133 and 170 | 22610 |
| 150 and 72 | 1800 |