Least Common Multiple (LCM) of 62 and 193
The least common multiple (LCM) of 62 and 193 is 11966.
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 193?
First, calculate the GCD of 62 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 193 = 0 remainder 62 |
| 2 | 193 ÷ 62 = 3 remainder 7 |
| 3 | 62 ÷ 7 = 8 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 85 | 170 |
| 178 and 142 | 12638 |
| 112 and 197 | 22064 |
| 195 and 156 | 780 |
| 146 and 42 | 3066 |