Least Common Multiple (LCM) of 161 and 164
The least common multiple (LCM) of 161 and 164 is 26404.
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 164?
First, calculate the GCD of 161 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 164 = 0 remainder 161 |
| 2 | 164 ÷ 161 = 1 remainder 3 |
| 3 | 161 ÷ 3 = 53 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 138 | 7590 |
| 42 and 72 | 504 |
| 183 and 188 | 34404 |
| 117 and 180 | 2340 |
| 29 and 117 | 3393 |