Least Common Multiple (LCM) of 193 and 143
The least common multiple (LCM) of 193 and 143 is 27599.
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 143?
First, calculate the GCD of 193 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 143 = 1 remainder 50 |
| 2 | 143 ÷ 50 = 2 remainder 43 |
| 3 | 50 ÷ 43 = 1 remainder 7 |
| 4 | 43 ÷ 7 = 6 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 32 | 2208 |
| 22 and 14 | 154 |
| 115 and 157 | 18055 |
| 156 and 73 | 11388 |
| 30 and 72 | 360 |