Least Common Multiple (LCM) of 197 and 182
The least common multiple (LCM) of 197 and 182 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 197 and 182?
First, calculate the GCD of 197 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 182 = 1 remainder 15 |
| 2 | 182 ÷ 15 = 12 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 62 | 11718 |
| 194 and 48 | 4656 |
| 153 and 82 | 12546 |
| 126 and 70 | 630 |
| 108 and 161 | 17388 |