Least Common Multiple (LCM) of 161 and 162
The least common multiple (LCM) of 161 and 162 is 26082.
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 162?
First, calculate the GCD of 161 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 162 = 0 remainder 161 |
| 2 | 162 ÷ 161 = 1 remainder 1 |
| 3 | 161 ÷ 1 = 161 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 44 | 1628 |
| 120 and 198 | 3960 |
| 58 and 34 | 986 |
| 198 and 81 | 1782 |
| 189 and 45 | 945 |