Least Common Multiple (LCM) of 161 and 182
The least common multiple (LCM) of 161 and 182 is 4186.
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 161 and 182?
First, calculate the GCD of 161 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 182 = 0 remainder 161 |
| 2 | 182 ÷ 161 = 1 remainder 21 |
| 3 | 161 ÷ 21 = 7 remainder 14 |
| 4 | 21 ÷ 14 = 1 remainder 7 |
| 5 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 67 | 8643 |
| 188 and 35 | 6580 |
| 61 and 123 | 7503 |
| 97 and 108 | 10476 |
| 179 and 190 | 34010 |