Least Common Multiple (LCM) of 161 and 180
The least common multiple (LCM) of 161 and 180 is 28980.
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 180?
First, calculate the GCD of 161 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 180 = 0 remainder 161 |
| 2 | 180 ÷ 161 = 1 remainder 19 |
| 3 | 161 ÷ 19 = 8 remainder 9 |
| 4 | 19 ÷ 9 = 2 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 54 | 432 |
| 150 and 81 | 4050 |
| 47 and 147 | 6909 |
| 85 and 84 | 7140 |
| 186 and 154 | 14322 |