Least Common Multiple (LCM) of 182 and 161
The least common multiple (LCM) of 182 and 161 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 182 and 161?
First, calculate the GCD of 182 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 161 = 1 remainder 21 |
| 2 | 161 ÷ 21 = 7 remainder 14 |
| 3 | 21 ÷ 14 = 1 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 127 | 13335 |
| 159 and 45 | 2385 |
| 114 and 149 | 16986 |
| 26 and 138 | 1794 |
| 158 and 132 | 10428 |