Least Common Multiple (LCM) of 193 and 77
The least common multiple (LCM) of 193 and 77 is 14861.
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 193 and 77?
First, calculate the GCD of 193 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 77 = 2 remainder 39 |
| 2 | 77 ÷ 39 = 1 remainder 38 |
| 3 | 39 ÷ 38 = 1 remainder 1 |
| 4 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 107 | 1712 |
| 180 and 162 | 1620 |
| 186 and 73 | 13578 |
| 101 and 60 | 6060 |
| 65 and 82 | 5330 |