Least Common Multiple (LCM) of 182 and 197
The least common multiple (LCM) of 182 and 197 is 35854.
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 182 and 197?
First, calculate the GCD of 182 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 197 = 0 remainder 182 |
| 2 | 197 ÷ 182 = 1 remainder 15 |
| 3 | 182 ÷ 15 = 12 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 40 | 80 |
| 48 and 150 | 1200 |
| 178 and 99 | 17622 |
| 29 and 81 | 2349 |
| 53 and 17 | 901 |