Least Common Multiple (LCM) of 193 and 110
The least common multiple (LCM) of 193 and 110 is 21230.
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 110?
First, calculate the GCD of 193 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 110 = 1 remainder 83 |
| 2 | 110 ÷ 83 = 1 remainder 27 |
| 3 | 83 ÷ 27 = 3 remainder 2 |
| 4 | 27 ÷ 2 = 13 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 154 | 9548 |
| 98 and 198 | 9702 |
| 124 and 124 | 124 |
| 37 and 127 | 4699 |
| 167 and 114 | 19038 |