Least Common Multiple (LCM) of 61 and 193
The least common multiple (LCM) of 61 and 193 is 11773.
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 61 and 193?
First, calculate the GCD of 61 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 193 = 0 remainder 61 |
| 2 | 193 ÷ 61 = 3 remainder 10 |
| 3 | 61 ÷ 10 = 6 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 101 | 10605 |
| 138 and 200 | 13800 |
| 194 and 168 | 16296 |
| 189 and 87 | 5481 |
| 127 and 192 | 24384 |