Least Common Multiple (LCM) of 193 and 182
The least common multiple (LCM) of 193 and 182 is 35126.
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 182?
First, calculate the GCD of 193 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 182 = 1 remainder 11 |
| 2 | 182 ÷ 11 = 16 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 87 | 14007 |
| 112 and 131 | 14672 |
| 152 and 21 | 3192 |
| 157 and 115 | 18055 |
| 69 and 85 | 5865 |